diff --git a/stdlib/2and3/ssl.pyi b/stdlib/2and3/ssl.pyi
index 3dd685ff0..806f6529b 100644
--- a/stdlib/2and3/ssl.pyi
+++ b/stdlib/2and3/ssl.pyi
@@ -2,12 +2,18 @@
 
 from typing import (
     Any, Callable, ClassVar, Dict, List, NamedTuple, Optional, Set, Text, Type, Tuple, Union,
+    overload
 )
 import enum
 import socket
 import sys
 import os
 
+if sys.version_info >= (3, 8):
+    from typing import Literal
+else:
+    from typing_extensions import Literal
+
 _PCTRTT = Tuple[Tuple[str, str], ...]
 _PCTRTTT = Tuple[_PCTRTT, ...]
 _PeerCertRetDictType = Dict[str, Union[str, _PCTRTTT, _PCTRTT]]
@@ -200,10 +206,15 @@ class SSLSocket(socket.socket):
              buffer: Optional[bytearray] = ...) -> bytes: ...
     def write(self, buf: bytes) -> int: ...
     def do_handshake(self) -> None: ...
-    def getpeercert(self, binary_form: bool = ...) -> _PeerCertRetType: ...
-    def cipher(self) -> Tuple[str, int, int]: ...
+    @overload
+    def getpeercert(self, binary_form: Literal[False] = ...) -> Optional[_PeerCertRetDictType]: ...
+    @overload
+    def getpeercert(self, binary_form: Literal[True]) -> Optional[bytes]: ...
+    @overload
+    def getpeercert(self, binary_form: bool) -> _PeerCertRetType: ...
+    def cipher(self) -> Optional[Tuple[str, str, int]]: ...
     if sys.version_info >= (3, 5):
-        def shared_cipher(self) -> Optional[List[Tuple[str, int, int]]]: ...
+        def shared_ciphers(self) -> Optional[List[Tuple[str, str, int]]]: ...
     def compression(self) -> Optional[str]: ...
     def get_channel_binding(self, cb_type: str = ...) -> Optional[bytes]: ...
     def selected_alpn_protocol(self) -> Optional[str]: ...
@@ -284,14 +295,21 @@ if sys.version_info >= (3, 5):
         def read(self, len: int = ...,
                  buffer: Optional[bytearray] = ...) -> bytes: ...
         def write(self, buf: bytes) -> int: ...
-        def getpeercert(self, binary_form: bool = ...) -> _PeerCertRetType: ...
+        @overload
+        def getpeercert(self, binary_form: Literal[False] = ...) -> Optional[_PeerCertRetDictType]: ...
+        @overload
+        def getpeercert(self, binary_form: Literal[True]) -> Optional[bytes]: ...
+        @overload
+        def getpeercert(self, binary_form: bool) -> _PeerCertRetType: ...
+        def selected_alpn_protocol(self) -> Optional[str]: ...
         def selected_npn_protocol(self) -> Optional[str]: ...
-        def cipher(self) -> Tuple[str, int, int]: ...
-        def shared_cipher(self) -> Optional[List[Tuple[str, int, int]]]: ...
+        def cipher(self) -> Optional[Tuple[str, str, int]]: ...
+        def shared_ciphers(self) -> Optional[List[Tuple[str, str, int]]]: ...
         def compression(self) -> Optional[str]: ...
         def pending(self) -> int: ...
         def do_handshake(self) -> None: ...
         def unwrap(self) -> None: ...
+        def version(self) -> Optional[str]: ...
         def get_channel_binding(self, cb_type: str = ...) -> Optional[bytes]: ...
         if sys.version_info >= (3, 8):
             def verify_client_post_handshake(self) -> None: ...