diff --git a/stdlib/time.pyi b/stdlib/time.pyi
index 5665efbba69d..64a009318894 100644
--- a/stdlib/time.pyi
+++ b/stdlib/time.pyi
@@ -1,10 +1,17 @@
 import sys
 from _typeshed import structseq
-from typing import Any, Final, Literal, Protocol, final, type_check_only
+from typing import Any, Final, Literal, Protocol, SupportsFloat, SupportsIndex, final, type_check_only
 from typing_extensions import TypeAlias
 
 _TimeTuple: TypeAlias = tuple[int, int, int, int, int, int, int, int, int]
 
+if sys.version_info >= (3, 15):
+    # anticipate on https://github.com/python/cpython/pull/139224
+    _SupportsFloatOrIndex: TypeAlias = SupportsFloat | SupportsIndex
+else:
+    # before, time functions only accept (subclass of) float, *not* SupportsFloat
+    _SupportsFloatOrIndex: TypeAlias = float | SupportsIndex
+
 altzone: int
 daylight: int
 timezone: int
@@ -68,11 +75,11 @@ class struct_time(structseq[Any | int], _TimeTuple):
     def tm_gmtoff(self) -> int: ...
 
 def asctime(time_tuple: _TimeTuple | struct_time = ..., /) -> str: ...
-def ctime(seconds: float | None = None, /) -> str: ...
-def gmtime(seconds: float | None = None, /) -> struct_time: ...
-def localtime(seconds: float | None = None, /) -> struct_time: ...
+def ctime(seconds: _SupportsFloatOrIndex | None = None, /) -> str: ...
+def gmtime(seconds: _SupportsFloatOrIndex | None = None, /) -> struct_time: ...
+def localtime(seconds: _SupportsFloatOrIndex | None = None, /) -> struct_time: ...
 def mktime(time_tuple: _TimeTuple | struct_time, /) -> float: ...
-def sleep(seconds: float, /) -> None: ...
+def sleep(seconds: _SupportsFloatOrIndex, /) -> None: ...
 def strftime(format: str, time_tuple: _TimeTuple | struct_time = ..., /) -> str: ...
 def strptime(data_string: str, format: str = "%a %b %d %H:%M:%S %Y", /) -> struct_time: ...
 def time() -> float: ...