diff --git a/test/test_http_proxy.py b/test/test_http_proxy.py
index 54a176d34..6e27bc6d5 100644
--- a/test/test_http_proxy.py
+++ b/test/test_http_proxy.py
@@ -8,7 +8,7 @@ import random
 import ssl
 import threading
 from http.server import BaseHTTPRequestHandler
-from socketserver import ThreadingTCPServer
+from socketserver import BaseRequestHandler, ThreadingTCPServer
 
 import pytest
 
@@ -224,7 +224,7 @@ def proxy_server(proxy_server_class, request_handler, bind_ip=None, **proxy_serv
     finally:
         server.shutdown()
         server.server_close()
-        server_thread.join()
+        server_thread.join(2.0)
 
 
 class HTTPProxyTestContext(abc.ABC):
@@ -304,7 +304,6 @@ class TestHTTPProxy:
                 assert proxy_info['proxy'] == server_address
                 assert proxy_info['connect'] is False
                 assert 'Proxy-Authorization' not in proxy_info['headers']
-                assert proxy_info['proxy'] == server_address
 
     def test_http_auth(self, handler, ctx):
         with ctx.http_server(HTTPProxyHandler, username='test', password='test') as server_address:
@@ -339,7 +338,6 @@ class TestHTTPProxy:
                 assert proxy_info['proxy'] == server_address
                 assert proxy_info['connect'] is False
                 assert 'Proxy-Authorization' not in proxy_info['headers']
-                assert proxy_info['proxy'] == server_address
 
     @pytest.mark.skip_handler('Urllib', 'urllib does not support https proxies')
     def test_https_verify_failed(self, handler, ctx):
@@ -358,7 +356,6 @@ class TestHTTPProxy:
                 assert proxy_info['proxy'] == server_address
                 assert proxy_info['path'].startswith('http://xn--fiq228c.tw')
                 assert proxy_info['headers']['Host'].split(':', 1)[0] == 'xn--fiq228c.tw'
-                assert proxy_info['proxy'] == server_address
 
 
 @pytest.mark.parametrize(
@@ -376,7 +373,6 @@ class TestHTTPConnectProxy:
                 assert proxy_info['proxy'] == server_address
                 assert proxy_info['connect'] is True
                 assert 'Proxy-Authorization' not in proxy_info['headers']
-                assert proxy_info['proxy'] == server_address
 
     def test_http_connect_auth(self, handler, ctx):
         with ctx.http_server(HTTPConnectProxyHandler, username='test', password='test') as server_address:
@@ -384,7 +380,6 @@ class TestHTTPConnectProxy:
                 proxy_info = ctx.proxy_info_request(rh)
                 assert proxy_info['proxy'] == server_address
                 assert 'Proxy-Authorization' in proxy_info['headers']
-                assert proxy_info['proxy'] == server_address
 
     @pytest.mark.skip_handler(
         'Requests',
@@ -415,7 +410,6 @@ class TestHTTPConnectProxy:
                 assert proxy_info['proxy'] == server_address
                 assert proxy_info['connect'] is True
                 assert 'Proxy-Authorization' not in proxy_info['headers']
-                assert proxy_info['proxy'] == server_address
 
     @pytest.mark.skipif(urllib3 is None, reason='requires urllib3 to test')
     def test_https_connect_verify_failed(self, handler, ctx):
@@ -434,4 +428,3 @@ class TestHTTPConnectProxy:
                 proxy_info = ctx.proxy_info_request(rh)
                 assert proxy_info['proxy'] == server_address
                 assert 'Proxy-Authorization' in proxy_info['headers']
-                assert proxy_info['proxy'] == server_address
diff --git a/yt_dlp/networking/_websockets.py b/yt_dlp/networking/_websockets.py
index b13e892ce..0a3d50ad9 100644
--- a/yt_dlp/networking/_websockets.py
+++ b/yt_dlp/networking/_websockets.py
@@ -1,10 +1,13 @@
 from __future__ import annotations
 
+import base64
 import contextlib
 import io
 import logging
 import ssl
 import sys
+import urllib.parse
+from http.client import HTTPConnection, HTTPResponse
 
 from ._helper import (
     create_connection,
@@ -19,19 +22,14 @@ from .exceptions import (
     ProxyError,
     RequestError,
     SSLError,
-    TransportError, UnsupportedRequest,
+    TransportError,
+    UnsupportedRequest,
 )
 from .websocket import WebSocketRequestHandler, WebSocketResponse
 from ..compat import functools
-from ..dependencies import websockets, urllib3
+from ..dependencies import urllib3, websockets
 from ..socks import ProxyError as SocksProxyError
 from ..utils import int_or_none
-import io
-import urllib.parse
-import base64
-
-from http.client import HTTPResponse, HTTPConnection
-
 from ..utils.networking import HTTPHeaderDict
 
 if not websockets:
@@ -282,7 +280,6 @@ def create_http_connect_conn(
     password=None,
 ):
 
-    # todo: handle ipv6 host
     proxy_headers = HTTPHeaderDict({
         **(headers or {}),
     })