diff --git a/news/11282.bugfix.rst b/news/11282.bugfix.rst
new file mode 100644
index 00000000000..53f1fde86fa
--- /dev/null
+++ b/news/11282.bugfix.rst
@@ -0,0 +1 @@
+Send the pip upgrade prompt to stderr.
diff --git a/src/pip/_internal/self_outdated_check.py b/src/pip/_internal/self_outdated_check.py
index 83cb0c543c1..9e2149c5247 100644
--- a/src/pip/_internal/self_outdated_check.py
+++ b/src/pip/_internal/self_outdated_check.py
@@ -233,7 +233,7 @@ def pip_self_version_check(session: PipSession, options: optparse.Values) -> Non
             ),
         )
         if upgrade_prompt is not None:
-            logger.info("[present-rich] %s", upgrade_prompt)
+            logger.warning("[present-rich] %s", upgrade_prompt)
     except Exception:
         logger.warning("There was an error checking the latest version of pip.")
         logger.debug("See below for error", exc_info=True)