diff --git a/src/pip/_internal/operations/check.py b/src/pip/_internal/operations/check.py
index 261045922..1b7fd7ab7 100644
--- a/src/pip/_internal/operations/check.py
+++ b/src/pip/_internal/operations/check.py
@@ -168,7 +168,7 @@ def warn_legacy_versions_and_specifiers(package_set: PackageSet) -> None:
                     f"release a version with a conforming version number"
                 ),
                 issue=12063,
-                gone_in="23.3",
+                gone_in="24.0",
             )
         for dep in package_details.dependencies:
             if any(isinstance(spec, LegacySpecifier) for spec in dep.specifier):
@@ -183,5 +183,5 @@ def warn_legacy_versions_and_specifiers(package_set: PackageSet) -> None:
                         f"release a version with a conforming dependency specifiers"
                     ),
                     issue=12063,
-                    gone_in="23.3",
+                    gone_in="24.0",
                 )
diff --git a/src/pip/_internal/req/req_set.py b/src/pip/_internal/req/req_set.py
index cff676017..1bf73d595 100644
--- a/src/pip/_internal/req/req_set.py
+++ b/src/pip/_internal/req/req_set.py
@@ -99,7 +99,7 @@ class RequirementSet:
                         "or contact the package author to fix the version number"
                     ),
                     issue=12063,
-                    gone_in="23.3",
+                    gone_in="24.0",
                 )
             for dep in req.get_dist().iter_dependencies():
                 if any(isinstance(spec, LegacySpecifier) for spec in dep.specifier):
@@ -115,5 +115,5 @@ class RequirementSet:
                             "or contact the package author to fix the version number"
                         ),
                         issue=12063,
-                        gone_in="23.3",
+                        gone_in="24.0",
                     )