diff --git a/Doc/c-api/time.rst b/Doc/c-api/time.rst
index 7791cdb1781055..1dffc19fdf0a8c 100644
--- a/Doc/c-api/time.rst
+++ b/Doc/c-api/time.rst
@@ -61,16 +61,40 @@ with the :term:`GIL` held.
    Read the monotonic clock.
    See :func:`time.monotonic` for important details on this clock.
 
+.. c:function:: PyTime_t PyTime_MonotonicUnchecked()
+
+   Similar to :c:func:`PyTime_Monotonic()`, but return ``0`` and silently
+   ignore the error if reading the clock fails.
+
+   The caller doesn't have to hold the GIL; the function does not raise an
+   exception on error.
+
 .. c:function:: int PyTime_PerfCounter(PyTime_t *result)
 
    Read the performance counter.
    See :func:`time.perf_counter` for important details on this clock.
 
+.. c:function:: PyTime_t PyTime_PerfCounterUnchecked()
+
+   Similar to :c:func:`PyTime_PerfCounter()`, but return ``0`` and silently
+   ignore the error if reading the clock fails.
+
+   The caller doesn't have to hold the GIL; the function does not raise an
+   exception on error.
+
 .. c:function:: int PyTime_Time(PyTime_t *result)
 
    Read the “wall clock” time.
    See :func:`time.time` for details important on this clock.
 
+.. c:function:: PyTime_t PyTime_TimeUnchecked()
+
+   Similar to :c:func:`PyTime_Time()`, but return ``0`` and silently ignore the
+   error if reading the clock fails.
+
+   The caller doesn't have to hold the GIL; the function does not raise an
+   exception on error.
+
 
 Conversion functions
 --------------------
diff --git a/Doc/whatsnew/3.13.rst b/Doc/whatsnew/3.13.rst
index a393a1df71a65c..7e228b1d712fbe 100644
--- a/Doc/whatsnew/3.13.rst
+++ b/Doc/whatsnew/3.13.rst
@@ -1571,6 +1571,9 @@ New Features
   * :c:func:`PyTime_AsSecondsDouble`
     :c:func:`PyTime_Monotonic`, :c:func:`PyTime_PerfCounter`, and
     :c:func:`PyTime_Time` functions.
+  * :c:func:`PyTime_MonotonicUnchecked`, :c:func:`PyTime_PerfCounterUnchecked`
+    and :c:func:`PyTime_TimeUnchecked`: similar to previous functions, but
+    ignores errors and doesn't require to hold the GIL.
 
   (Contributed by Victor Stinner and Petr Viktorin in :gh:`110850`.)
 
diff --git a/Include/cpython/pytime.h b/Include/cpython/pytime.h
index d8244700d614ce..f70e59cc56fadf 100644
--- a/Include/cpython/pytime.h
+++ b/Include/cpython/pytime.h
@@ -15,6 +15,9 @@ PyAPI_FUNC(double) PyTime_AsSecondsDouble(PyTime_t t);
 PyAPI_FUNC(int) PyTime_Monotonic(PyTime_t *result);
 PyAPI_FUNC(int) PyTime_PerfCounter(PyTime_t *result);
 PyAPI_FUNC(int) PyTime_Time(PyTime_t *result);
+PyAPI_FUNC(PyTime_t) PyTime_MonotonicUnchecked(void);
+PyAPI_FUNC(PyTime_t) PyTime_PerfCounterUnchecked(void);
+PyAPI_FUNC(PyTime_t) PyTime_TimeUnchecked(void);
 
 #ifdef __cplusplus
 }
diff --git a/Include/internal/pycore_time.h b/Include/internal/pycore_time.h
index 40b28e0ba221ae..ced491227b3604 100644
--- a/Include/internal/pycore_time.h
+++ b/Include/internal/pycore_time.h
@@ -247,13 +247,10 @@ typedef struct {
     double resolution;
 } _Py_clock_info_t;
 
-// Similar to PyTime_Time() but silently ignore the error and return 0 if the
-// internal clock fails.
-//
-// Use _PyTime_TimeWithInfo() or the public PyTime_Time() to check
-// for failure.
-// Export for '_random' shared extension.
-PyAPI_FUNC(PyTime_t) _PyTime_TimeUnchecked(void);
+// Backward compatibility
+#define _PyTime_TimeUnchecked PyTime_TimeUnchecked
+#define _PyTime_MonotonicUnchecked PyTime_MonotonicUnchecked
+#define _PyTime_PerfCounterUnchecked PyTime_PerfCounterUnchecked
 
 // Get the current time from the system clock.
 // On success, set *t and *info (if not NULL), and return 0.
@@ -262,14 +259,6 @@ extern int _PyTime_TimeWithInfo(
     PyTime_t *t,
     _Py_clock_info_t *info);
 
-// Similar to PyTime_Monotonic() but silently ignore the error and return 0 if
-// the internal clock fails.
-//
-// Use _PyTime_MonotonicWithInfo() or the public PyTime_Monotonic()
-// to check for failure.
-// Export for '_random' shared extension.
-PyAPI_FUNC(PyTime_t) _PyTime_MonotonicUnchecked(void);
-
 // Get the time of a monotonic clock, i.e. a clock that cannot go backwards.
 // The clock is not affected by system clock updates. The reference point of
 // the returned value is undefined, so that only the difference between the
@@ -294,14 +283,6 @@ PyAPI_FUNC(int) _PyTime_localtime(time_t t, struct tm *tm);
 // Export for '_datetime' shared extension.
 PyAPI_FUNC(int) _PyTime_gmtime(time_t t, struct tm *tm);
 
-// Similar to PyTime_PerfCounter() but silently ignore the error and return 0
-// if the internal clock fails.
-//
-// Use _PyTime_PerfCounterWithInfo() or the public PyTime_PerfCounter() to
-// check for failure.
-// Export for '_lsprof' shared extension.
-PyAPI_FUNC(PyTime_t) _PyTime_PerfCounterUnchecked(void);
-
 
 // Get the performance counter: clock with the highest available resolution to
 // measure a short duration.
@@ -353,6 +334,8 @@ extern double _PyTimeFraction_Resolution(
     const _PyTimeFraction *frac);
 
 
+extern PyStatus _PyTime_Init(void);
+
 #ifdef __cplusplus
 }
 #endif
diff --git a/Lib/test/test_capi/test_time.py b/Lib/test/test_capi/test_time.py
index 10b7fbf2c372a3..f0c5a437f594f1 100644
--- a/Lib/test/test_capi/test_time.py
+++ b/Lib/test/test_capi/test_time.py
@@ -8,7 +8,7 @@
 PyTime_MAX = _testcapi.PyTime_MAX
 SEC_TO_NS = 10 ** 9
 DAY_TO_SEC = (24 * 60 * 60)
-# Worst clock resolution: maximum delta between two clock reads.
+# Worst clock resolution in seconds: maximum delta between two clock reads.
 CLOCK_RES = 0.050
 
 
@@ -59,13 +59,16 @@ def ns_to_sec(ns):
                                  ns_to_sec(ns))
 
     def test_monotonic(self):
-        # Test PyTime_Monotonic()
+        # Test PyTime_Monotonic() and PyTime_MonotonicUnchecked()
         self.check_clock(_testcapi.PyTime_Monotonic, time.monotonic)
+        self.check_clock(_testcapi.PyTime_MonotonicUnchecked, time.monotonic)
 
     def test_perf_counter(self):
-        # Test PyTime_PerfCounter()
+        # Test PyTime_PerfCounter() and PyTime_PerfCounterUnchecked()
         self.check_clock(_testcapi.PyTime_PerfCounter, time.perf_counter)
+        self.check_clock(_testcapi.PyTime_PerfCounterUnchecked, time.perf_counter)
 
     def test_time(self):
-        # Test PyTime_time()
+        # Test PyTime_Time() and PyTime_TimeUnchecked()
         self.check_clock(_testcapi.PyTime_Time, time.time)
+        self.check_clock(_testcapi.PyTime_TimeUnchecked, time.time)
diff --git a/Misc/NEWS.d/next/C API/2024-02-26-22-23-24.gh-issue-110850.nlLqWV.rst b/Misc/NEWS.d/next/C API/2024-02-26-22-23-24.gh-issue-110850.nlLqWV.rst
new file mode 100644
index 00000000000000..9fee20c0f69687
--- /dev/null
+++ b/Misc/NEWS.d/next/C API/2024-02-26-22-23-24.gh-issue-110850.nlLqWV.rst	
@@ -0,0 +1,7 @@
+Add functions:
+
+* :c:func:`PyTime_MonotonicUnchecked`
+* :c:func:`PyTime_PerfCounterUnchecked`
+* :c:func:`PyTime_TimeUnchecked`
+
+Patch by Victor Stinner.
diff --git a/Modules/_testcapi/time.c b/Modules/_testcapi/time.c
index 68f082bf3f3d88..fd33fa6bbe0e12 100644
--- a/Modules/_testcapi/time.c
+++ b/Modules/_testcapi/time.c
@@ -58,6 +58,14 @@ test_pytime_monotonic(PyObject *Py_UNUSED(self), PyObject *Py_UNUSED(args))
 }
 
 
+static PyObject*
+test_pytime_monotonic_unchecked(PyObject *Py_UNUSED(self), PyObject *Py_UNUSED(args))
+{
+    PyTime_t t = PyTime_MonotonicUnchecked();
+    return pytime_as_float(t);
+}
+
+
 static PyObject*
 test_pytime_perf_counter(PyObject *Py_UNUSED(self), PyObject *Py_UNUSED(args))
 {
@@ -71,6 +79,14 @@ test_pytime_perf_counter(PyObject *Py_UNUSED(self), PyObject *Py_UNUSED(args))
 }
 
 
+static PyObject*
+test_pytime_perf_counter_unchecked(PyObject *Py_UNUSED(self), PyObject *Py_UNUSED(args))
+{
+    PyTime_t t = PyTime_PerfCounterUnchecked();
+    return pytime_as_float(t);
+}
+
+
 static PyObject*
 test_pytime_time(PyObject *Py_UNUSED(self), PyObject *Py_UNUSED(args))
 {
@@ -84,11 +100,22 @@ test_pytime_time(PyObject *Py_UNUSED(self), PyObject *Py_UNUSED(args))
 }
 
 
+static PyObject*
+test_pytime_time_unchecked(PyObject *Py_UNUSED(self), PyObject *Py_UNUSED(args))
+{
+    PyTime_t t = PyTime_TimeUnchecked();
+    return pytime_as_float(t);
+}
+
+
 static PyMethodDef test_methods[] = {
     {"PyTime_AsSecondsDouble", test_pytime_assecondsdouble, METH_VARARGS},
     {"PyTime_Monotonic", test_pytime_monotonic, METH_NOARGS},
+    {"PyTime_MonotonicUnchecked", test_pytime_monotonic_unchecked, METH_NOARGS},
     {"PyTime_PerfCounter", test_pytime_perf_counter, METH_NOARGS},
+    {"PyTime_PerfCounterUnchecked", test_pytime_perf_counter_unchecked, METH_NOARGS},
     {"PyTime_Time", test_pytime_time, METH_NOARGS},
+    {"PyTime_TimeUnchecked", test_pytime_time_unchecked, METH_NOARGS},
     {NULL},
 };
 
diff --git a/Python/pylifecycle.c b/Python/pylifecycle.c
index 04487345f7ec05..a875790d35b318 100644
--- a/Python/pylifecycle.c
+++ b/Python/pylifecycle.c
@@ -27,6 +27,7 @@
 #include "pycore_setobject.h"     // _PySet_NextEntry()
 #include "pycore_sliceobject.h"   // _PySlice_Fini()
 #include "pycore_sysmodule.h"     // _PySys_ClearAuditHooks()
+#include "pycore_time.h"          // _PyTime_Init()
 #include "pycore_traceback.h"     // _Py_DumpTracebackThreads()
 #include "pycore_typeobject.h"    // _PyTypes_InitTypes()
 #include "pycore_typevarobject.h" // _Py_clear_generic_types()
@@ -525,6 +526,11 @@ pycore_init_runtime(_PyRuntimeState *runtime,
 
     _Py_InitVersion();
 
+    status = _PyTime_Init();
+    if (_PyStatus_EXCEPTION(status)) {
+        return status;
+    }
+
     status = _Py_HashRandomization_Init(config);
     if (_PyStatus_EXCEPTION(status)) {
         return status;
diff --git a/Python/pytime.c b/Python/pytime.c
index 90ef2eeb546f7f..5ff57eb8fa5a8e 100644
--- a/Python/pytime.c
+++ b/Python/pytime.c
@@ -1,4 +1,5 @@
 #include "Python.h"
+#include "pycore_initconfig.h"    // _PyStatus_ERR()
 #include "pycore_time.h"          // PyTime_t
 
 #include <time.h>                 // gmtime_r()
@@ -1289,28 +1290,33 @@ py_get_win_perf_counter(PyTime_t *tp, _Py_clock_info_t *info, int raise_exc)
 #endif  // MS_WINDOWS
 
 
-int
-_PyTime_PerfCounterWithInfo(PyTime_t *t, _Py_clock_info_t *info)
+static int
+py_perf_counter(PyTime_t *result, _Py_clock_info_t *info, int raise_exc)
 {
 #ifdef MS_WINDOWS
-    return py_get_win_perf_counter(t, info, 1);
+#   define INIT_CHECK_PERF_COUNTER 1
+    return py_get_win_perf_counter(result, info, raise_exc);
 #else
-    return _PyTime_MonotonicWithInfo(t, info);
+    // On non-Windows, _PyTime_Init() doesn't have to check py_perf_counter()
+    // since py_get_monotonic_clock() is already checked.
+#   define INIT_CHECK_PERF_COUNTER 0
+    return py_get_monotonic_clock(result, info, raise_exc);
 #endif
 }
 
 
+int
+_PyTime_PerfCounterWithInfo(PyTime_t *t, _Py_clock_info_t *info)
+{
+    return py_perf_counter(t, info, 1);
+}
+
+
 PyTime_t
 _PyTime_PerfCounterUnchecked(void)
 {
     PyTime_t t;
-    int res;
-#ifdef MS_WINDOWS
-    res = py_get_win_perf_counter(&t, NULL, 0);
-#else
-    res = py_get_monotonic_clock(&t, NULL, 0);
-#endif
-    if (res  < 0) {
+    if (py_perf_counter(&t, NULL, 0) < 0) {
         // If py_win_perf_counter_frequency() or py_get_monotonic_clock()
         // fails: silently ignore the failure and return 0.
         t = 0;
@@ -1322,13 +1328,7 @@ _PyTime_PerfCounterUnchecked(void)
 int
 PyTime_PerfCounter(PyTime_t *result)
 {
-    int res;
-#ifdef MS_WINDOWS
-    res = py_get_win_perf_counter(result, NULL, 1);
-#else
-    res = py_get_monotonic_clock(result, NULL, 1);
-#endif
-    if (res  < 0) {
+    if (py_perf_counter(result, NULL, 1)  < 0) {
         // If py_win_perf_counter_frequency() or py_get_monotonic_clock()
         // fails: silently ignore the failure and return 0.
         *result = 0;
@@ -1419,3 +1419,22 @@ _PyDeadline_Get(PyTime_t deadline)
     PyTime_t now = _PyTime_MonotonicUnchecked();
     return deadline - now;
 }
+
+
+PyStatus
+_PyTime_Init(void)
+{
+    PyTime_t t;
+    if (py_get_system_clock(&t, NULL, 0) < 0) {
+        return _PyStatus_ERR("cannot read system clock");
+    }
+    if (py_get_monotonic_clock(&t, NULL, 0) < 0) {
+        return _PyStatus_ERR("cannot read monotonic clock");
+    }
+#if INIT_CHECK_PERF_COUNTER
+    if (py_perf_counter(&t, NULL, 0) < 0) {
+        return _PyStatus_ERR("cannot read monotonic clock");
+    }
+#endif
+    return _PyStatus_OK();
+}