diff --git a/stdlib/ssl.pyi b/stdlib/ssl.pyi
index 3b68d1072..a81bc14e9 100644
--- a/stdlib/ssl.pyi
+++ b/stdlib/ssl.pyi
@@ -380,7 +380,13 @@ class SSLContext:
         post_handshake_auth: bool
     if sys.version_info >= (3, 10):
         security_level: int
-    def __new__(cls: type[Self], protocol: int = ..., *args: Any, **kwargs: Any) -> Self: ...
+    if sys.version_info >= (3, 10):
+        # Using the default (None) for the `protocol` parameter is deprecated,
+        # but there isn't a good way of marking that in the stub unless/until PEP 702 is accepted
+        def __new__(cls: type[Self], protocol: int | None = None, *args: Any, **kwargs: Any) -> Self: ...
+    else:
+        def __new__(cls: type[Self], protocol: int = ..., *args: Any, **kwargs: Any) -> Self: ...
+
     def cert_store_stats(self) -> dict[str, int]: ...
     def load_cert_chain(
         self, certfile: StrOrBytesPath, keyfile: StrOrBytesPath | None = None, password: _PasswordType | None = None
diff --git a/tests/stubtest_allowlists/py310.txt b/tests/stubtest_allowlists/py310.txt
index 7f53e7f10..739a3db42 100644
--- a/tests/stubtest_allowlists/py310.txt
+++ b/tests/stubtest_allowlists/py310.txt
@@ -53,11 +53,6 @@ weakref.WeakValueDictionary.update
 unittest.TestCase.__init_subclass__
 unittest.case.TestCase.__init_subclass__
 
-# stubtest complains that in 3.10 the default argument is inconsistent with the annotation,
-# but in 3.10+ calling the function without the default argument is in fact deprecated,
-# so it's better to ignore stubtest
-ssl.SSLContext.__new__
-
 # SpooledTemporaryFile implements IO except these methods before Python 3.11
 # See also https://github.com/python/typeshed/pull/2452#issuecomment-420657918
 tempfile.SpooledTemporaryFile.__next__
diff --git a/tests/stubtest_allowlists/py311.txt b/tests/stubtest_allowlists/py311.txt
index b65f27050..ed6ce05f4 100644
--- a/tests/stubtest_allowlists/py311.txt
+++ b/tests/stubtest_allowlists/py311.txt
@@ -47,11 +47,6 @@ weakref.WeakValueDictionary.update
 unittest.TestCase.__init_subclass__
 unittest.case.TestCase.__init_subclass__
 
-# stubtest complains that in 3.10 the default argument is inconsistent with the annotation,
-# but in 3.10+ calling the function without the default argument is in fact deprecated,
-# so it's better to ignore stubtest
-ssl.SSLContext.__new__
-
 # ==========
 # Related to positional-only arguments
 # ==========