diff --git a/stubs/pyOpenSSL/@tests/stubtest_allowlist.txt b/stubs/pyOpenSSL/@tests/stubtest_allowlist.txt
index a156e4ee8c3e..dd84546dff4f 100644
--- a/stubs/pyOpenSSL/@tests/stubtest_allowlist.txt
+++ b/stubs/pyOpenSSL/@tests/stubtest_allowlist.txt
@@ -1,4 +1 @@
-OpenSSL.SSL.Connection.__init__
-OpenSSL.SSL.Context.load_verify_locations
-OpenSSL.SSL.Context.set_verify
 OpenSSL.crypto
diff --git a/stubs/pyOpenSSL/OpenSSL/SSL.pyi b/stubs/pyOpenSSL/OpenSSL/SSL.pyi
index 78955f099d15..9ede0ecbecc0 100644
--- a/stubs/pyOpenSSL/OpenSSL/SSL.pyi
+++ b/stubs/pyOpenSSL/OpenSSL/SSL.pyi
@@ -1,4 +1,4 @@
-from socket import socket
+import socket
 from typing import Callable, Sequence
 
 from OpenSSL.crypto import X509
@@ -13,7 +13,7 @@ OP_NO_TLSv1_3: int
 VERIFY_PEER: int
 
 class Connection:
-    def __init__(self, context: Context, _socket: socket | None) -> None: ...
+    def __init__(self, context: Context, socket: socket.socket | None = ...) -> None: ...
     def connect(self, addr: str | bytes | Sequence[str | int]) -> None: ...
     def do_handshake(self) -> None: ...
     def get_peer_certificate(self) -> X509: ...
@@ -21,6 +21,6 @@ class Connection:
 
 class Context:
     def __init__(self, method: int) -> None: ...
-    def load_verify_locations(self, cafile: str | None, capath: str | None) -> None: ...
+    def load_verify_locations(self, cafile: str | None, capath: str | None = ...) -> None: ...
     def set_options(self, options: int) -> None: ...
-    def set_verify(self, mode: int, callback: Callable[[Connection, X509, int, int, int], bool]) -> None: ...
+    def set_verify(self, mode: int, callback: Callable[[Connection, X509, int, int, int], bool] | None = ...) -> None: ...
diff --git a/stubs/pyOpenSSL/OpenSSL/crypto.pyi b/stubs/pyOpenSSL/OpenSSL/crypto.pyi
index 3bb1adb128b7..a0822311c342 100644
--- a/stubs/pyOpenSSL/OpenSSL/crypto.pyi
+++ b/stubs/pyOpenSSL/OpenSSL/crypto.pyi
@@ -1,5 +1,5 @@
 from datetime import datetime
-from typing import Callable, Iterable, List, Sequence, Set, Text, Tuple, Union
+from typing import Any, Callable, Iterable, List, Sequence, Set, Text, Tuple, Union
 
 from cryptography.hazmat.primitives.asymmetric.dsa import DSAPrivateKey, DSAPublicKey
 from cryptography.hazmat.primitives.asymmetric.rsa import RSAPrivateKey, RSAPublicKey
@@ -15,7 +15,7 @@ TYPE_RSA: int
 TYPE_DSA: int
 
 class _EllipticCurve:
-    name: Text
+    def __init__(self, lib: Any | None, nid: int, name: str) -> None: ...
 
 class Error(Exception): ...
 
@@ -53,7 +53,7 @@ class X509:
     def add_extensions(self, extensions: Iterable[X509Extension]) -> None: ...
     def digest(self, digest_name: bytes) -> bytes: ...
     @classmethod
-    def from_cryptography(cls, crypto_key: Certificate) -> X509: ...
+    def from_cryptography(cls, crypto_cert: Certificate) -> X509: ...
     def get_extension(self, index: int) -> X509Extension: ...
     def get_extension_count(self) -> int: ...
     def get_issuer(self) -> X509Name: ...
@@ -129,12 +129,12 @@ class X509Store:
     def __init__(self) -> None: ...
     def add_cert(self, cert: X509) -> None: ...
     def add_crl(self, crl: CRL) -> None: ...
-    def load_locations(self, cafile: Text | bytes, capath: Text | bytes) -> None: ...
+    def load_locations(self, cafile: Text | bytes, capath: Text | bytes | None = ...) -> None: ...
     def set_flags(self, flags: int) -> None: ...
     def set_time(self, vfy_time: datetime) -> None: ...
 
 class X509StoreContext:
-    def __init__(self, store: X509Store, certificate: X509, chain: Sequence[X509] | None) -> None: ...
+    def __init__(self, store: X509Store, certificate: X509, chain: Sequence[X509] | None = ...) -> None: ...
     def get_verified_chain(self) -> List[X509]: ...
     def set_store(self, store: X509Store) -> None: ...
     def verify_certificate(self) -> None: ...
@@ -187,7 +187,7 @@ def get_elliptic_curves() -> Set[_EllipticCurve]: ...
 def get_elliptic_curve(name: Text) -> _EllipticCurve: ...
 def dump_certificate(type: int, cert: X509) -> bytes: ...
 def load_certificate(type: int, buffer: bytes) -> X509: ...
-def dump_certificate_request(type: int, cert: X509Req) -> bytes: ...
+def dump_certificate_request(type: int, req: X509Req) -> bytes: ...
 def load_certificate_request(type: int, buffer: bytes) -> X509Req: ...
 def dump_privatekey(
     type: int, pkey: PKey, cipher: bytes | None = ..., passphrase: bytes | Callable[[], bytes] | None = ...