diff --git a/Doc/library/select.rst b/Doc/library/select.rst
index f23a249f44b485..4fcff9198944a8 100644
--- a/Doc/library/select.rst
+++ b/Doc/library/select.rst
@@ -317,11 +317,17 @@ Edge and Level Trigger Polling (epoll) Objects
    +-------------------------+-----------------------------------------------+
    | :const:`EPOLLMSG`       | Ignored.                                      |
    +-------------------------+-----------------------------------------------+
+   | :const:`EPOLLWAKEUP`    | Prevents sleep during event waiting.          |
+   +-------------------------+-----------------------------------------------+
 
    .. versionadded:: 3.6
       :const:`EPOLLEXCLUSIVE` was added.  It's only supported by Linux Kernel 4.5
       or later.
 
+   .. versionadded:: next
+      :const:`EPOLLWAKEUP` was added. It's only supported by Linux Kernel 3.5
+      or later.
+
 .. method:: epoll.close()
 
    Close the control file descriptor of the epoll object.
diff --git a/Misc/NEWS.d/next/Library/2024-12-01-23-18-43.gh-issue-127481.K36AoP.rst b/Misc/NEWS.d/next/Library/2024-12-01-23-18-43.gh-issue-127481.K36AoP.rst
new file mode 100644
index 00000000000000..8ada0b57ddc257
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2024-12-01-23-18-43.gh-issue-127481.K36AoP.rst
@@ -0,0 +1 @@
+Add the ``EPOLLWAKEUP`` constant to the :mod:`select` module.
diff --git a/Modules/selectmodule.c b/Modules/selectmodule.c
index 6ced71cca73178..e14e114a6dafd0 100644
--- a/Modules/selectmodule.c
+++ b/Modules/selectmodule.c
@@ -2715,6 +2715,10 @@ _select_exec(PyObject *m)
 #ifdef EPOLLMSG
     ADD_INT(EPOLLMSG);
 #endif
+#ifdef EPOLLWAKEUP
+    /* Kernel 3.5+ */
+    ADD_INT(EPOLLWAKEUP);
+#endif
 
 #ifdef EPOLL_CLOEXEC
     ADD_INT(EPOLL_CLOEXEC);