diff --git a/CHANGES.rst b/CHANGES.rst
index 05ddf29900..c113092f7c 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -1,3 +1,8 @@
+2.11.904 (2024-10-25)
+=====================
+
+- Improve (async) close procedure when used in a ``uvloop``.
+
 2.11.903 (2024-10-22)
 =====================
 
diff --git a/src/urllib3/_version.py b/src/urllib3/_version.py
index 18deb3bd10..11195f3da5 100644
--- a/src/urllib3/_version.py
+++ b/src/urllib3/_version.py
@@ -1,4 +1,4 @@
 # This file is protected via CODEOWNERS
 from __future__ import annotations
 
-__version__ = "2.11.903"
+__version__ = "2.11.904"
diff --git a/src/urllib3/contrib/ssa/__init__.py b/src/urllib3/contrib/ssa/__init__.py
index 0790b23cce..6b8a416e55 100644
--- a/src/urllib3/contrib/ssa/__init__.py
+++ b/src/urllib3/contrib/ssa/__init__.py
@@ -78,7 +78,11 @@ def close(self) -> None:
 
         try:
             if hasattr(self._sock, "shutdown"):
-                self._sock.shutdown(SHUT_RD)
+                try:
+                    self._sock.shutdown(SHUT_RD)
+                except TypeError:  # uvloop don't support shutdown!
+                    if hasattr(self._sock, "close"):
+                        self._sock.close()
             elif hasattr(self._sock, "close"):
                 self._sock.close()
             # we have to force call close() on our sock object in UDP ctx. (even after shutdown)