diff --git a/Doc/library/asyncio-eventloop.rst b/Doc/library/asyncio-eventloop.rst
index d8dd03aba5c74a..54103a438c8553 100644
--- a/Doc/library/asyncio-eventloop.rst
+++ b/Doc/library/asyncio-eventloop.rst
@@ -298,6 +298,12 @@ clocks to track time.
    custom :class:`contextvars.Context` for the *callback* to run in.
    The current context is used when no *context* is provided.
 
+   .. note::
+
+      For performance, callbacks scheduled with :meth:`loop.call_later`
+      may run up to one clock-resolution early (see
+      ``time.get_clock_info('monotonic').resolution``).
+
    .. versionchanged:: 3.7
       The *context* keyword-only parameter was added. See :pep:`567`
       for more details.
@@ -318,6 +324,12 @@ clocks to track time.
    An instance of :class:`asyncio.TimerHandle` is returned which can
    be used to cancel the callback.
 
+   .. note::
+
+      For performance, callbacks scheduled with :meth:`loop.call_at`
+      may run up to one clock-resolution early (see
+      ``time.get_clock_info('monotonic').resolution``).
+
    .. versionchanged:: 3.7
       The *context* keyword-only parameter was added. See :pep:`567`
       for more details.