diff --git a/src/pip/_internal/utils/deprecation.py b/src/pip/_internal/utils/deprecation.py
index 7c7ace6ff4c..51de0a5bde7 100644
--- a/src/pip/_internal/utils/deprecation.py
+++ b/src/pip/_internal/utils/deprecation.py
@@ -155,7 +155,7 @@ def emit_deprecation(self, name: str) -> None:
         "method, because a wheel could not be built for it."
     ),
     replacement="to fix the wheel build issue reported above",
-    gone_in=None,
+    gone_in="23.1",
     issue=8368,
     emit_after_success=True,
 )
@@ -169,7 +169,7 @@ def emit_deprecation(self, name: str) -> None:
         "is not installed."
     ),
     replacement="to enable the '--use-pep517' option",
-    gone_in=None,
+    gone_in="23.1",
     issue=8559,
     emit_before_install=True,
 )