diff --git a/podman/api/ssh.py b/podman/api/ssh.py
index e6aecc4d..8eb51153 100644
--- a/podman/api/ssh.py
+++ b/podman/api/ssh.py
@@ -4,7 +4,6 @@
 """
 import collections
 import functools
-import http.client
 import logging
 import pathlib
 import random
@@ -17,10 +16,8 @@
 import time
 import xdg.BaseDirectory
 
-try:
-    import urllib3
-except ImportError:
-    from requests.packages import urllib3
+import urllib3
+import urllib3.connection
 
 from requests.adapters import DEFAULT_POOLBLOCK, DEFAULT_RETRIES, HTTPAdapter
 
@@ -151,7 +148,7 @@ def close(self):
         super().close()
 
 
-class SSHConnection(http.client.HTTPConnection):
+class SSHConnection(urllib3.connection.HTTPConnection):
     """Specialization of HTTPConnection to use a SSH forwarded socket."""
 
     def __init__(
diff --git a/podman/api/uds.py b/podman/api/uds.py
index cc7fcfdd..9d87d5db 100644
--- a/podman/api/uds.py
+++ b/podman/api/uds.py
@@ -1,16 +1,13 @@
 """Specialized Transport Adapter for UNIX domain sockets."""
 import collections
 import functools
-import http.client
 import logging
 import socket
 from typing import Optional, Union
 from urllib.parse import unquote, urlparse
 
-try:
-    import urllib3
-except ImportError:
-    from requests.packages import urllib3
+import urllib3
+import urllib3.connection
 
 from requests.adapters import DEFAULT_POOLBLOCK, DEFAULT_POOLSIZE, DEFAULT_RETRIES, HTTPAdapter
 
@@ -45,7 +42,7 @@ def connect(self, **kwargs):  # pylint: disable=unused-argument
             raise APIError(f"Unable to make connection to UDS '{netloc}'") from e
 
 
-class UDSConnection(http.client.HTTPConnection):
+class UDSConnection(urllib3.connection.HTTPConnection):
     """Specialization of HTTPConnection to use a UNIX domain sockets."""
 
     def __init__(
diff --git a/requirements.txt b/requirements.txt
index 9ee7e831..67b5399f 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -4,5 +4,5 @@ requests>=2.24
 setuptools
 sphinx
 tomli>=1.2.3; python_version<'3.11'
-urllib3>=1.26.5,<2.0.0
+urllib3
 wheel
diff --git a/setup.cfg b/setup.cfg
index 29a92c48..dbd311f3 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -37,7 +37,7 @@ install_requires =
     pyxdg >=0.26
     requests >=2.24
     tomli>=1.2.3; python_version<'3.11'
-    urllib3 >= 1.26.5, < 2.0.0
+    urllib3
 
 # typing_extensions are included for RHEL 8.5
 # typing_extensions;python_version<'3.8'
diff --git a/test-requirements.txt b/test-requirements.txt
index 13cee68f..d4c3a3c7 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -5,5 +5,5 @@ coverage
 fixtures~=4.0.0
 pylint
 pytest
-requests-mock
+requests-mock >= 1.11.0
 tox