diff --git a/airflow/providers/docker/operators/docker_swarm.py b/airflow/providers/docker/operators/docker_swarm.py
index 2d5373c840f17..a1f3f0b2bcf2d 100644
--- a/airflow/providers/docker/operators/docker_swarm.py
+++ b/airflow/providers/docker/operators/docker_swarm.py
@@ -17,7 +17,6 @@
 """Run ephemeral Docker Swarm services"""
 from typing import List, Optional, Union
 
-import requests
 from docker import types
 
 from airflow.exceptions import AirflowException
@@ -204,12 +203,6 @@ def _stream_logs_to_output(self) -> None:
         while True:
             try:
                 log = next(logs)
-            # TODO: Remove this clause once https://github.com/docker/docker-py/issues/931 is fixed
-            except requests.exceptions.ConnectionError:
-                # If the service log stream stopped sending messages, check if it the service has
-                # terminated.
-                if self._has_service_terminated():
-                    break
             except StopIteration:
                 # If the service log stream terminated, stop fetching logs further.
                 break
diff --git a/setup.py b/setup.py
index 0374e34bb6332..4f2db05c3eb40 100644
--- a/setup.py
+++ b/setup.py
@@ -260,7 +260,7 @@ def write_version(filename: str = os.path.join(*[my_dir, "airflow", "git_version
     'sphinxcontrib-spelling==7.2.1',
 ]
 docker = [
-    'docker',
+    'docker>=5.0.3',
 ]
 drill = ['sqlalchemy-drill>=1.1.0', 'sqlparse>=0.4.1']
 druid = [
diff --git a/tests/providers/docker/operators/test_docker_swarm.py b/tests/providers/docker/operators/test_docker_swarm.py
index 8523644888de4..09207b425dbb8 100644
--- a/tests/providers/docker/operators/test_docker_swarm.py
+++ b/tests/providers/docker/operators/test_docker_swarm.py
@@ -20,7 +20,6 @@
 from unittest import mock
 
 import pytest
-import requests
 from docker import APIClient, types
 from parameterized import parameterized
 
@@ -184,53 +183,6 @@ def test_non_complete_service_raises_error(self, status, types_mock, client_clas
             operator.execute(None)
         assert str(ctx.value) == msg
 
-    @mock.patch('airflow.providers.docker.operators.docker.APIClient')
-    @mock.patch('airflow.providers.docker.operators.docker_swarm.types')
-    def test_logging_with_requests_timeout(self, types_mock, client_class_mock):
-
-        mock_obj = mock.Mock()
-
-        def _client_tasks_side_effect():
-            for _ in range(2):
-                yield [{'Status': {'State': 'pending'}}]
-            while True:
-                yield [{'Status': {'State': 'complete'}}]
-
-        def _client_service_logs_effect():
-            yield b'Testing is awesome.'
-            raise requests.exceptions.ConnectionError('')
-
-        client_mock = mock.Mock(spec=APIClient)
-        client_mock.create_service.return_value = {'ID': 'some_id'}
-        client_mock.service_logs.return_value = _client_service_logs_effect()
-        client_mock.images.return_value = []
-        client_mock.pull.return_value = [b'{"status":"pull log"}']
-        client_mock.tasks.side_effect = _client_tasks_side_effect()
-        types_mock.TaskTemplate.return_value = mock_obj
-        types_mock.ContainerSpec.return_value = mock_obj
-        types_mock.RestartPolicy.return_value = mock_obj
-        types_mock.Resources.return_value = mock_obj
-
-        client_class_mock.return_value = client_mock
-
-        operator = DockerSwarmOperator(
-            api_version='1.19',
-            command='env',
-            environment={'UNIT': 'TEST'},
-            image='ubuntu:latest',
-            mem_limit='128m',
-            user='unittest',
-            task_id='unittest',
-            auto_remove=True,
-            tty=True,
-            enable_logging=True,
-        )
-        operator.execute(None)
-
-        client_mock.service_logs.assert_called_once_with(
-            'some_id', follow=True, stdout=True, stderr=True, is_tty=True
-        )
-
     def test_on_kill(self):
         client_mock = mock.Mock(spec=APIClient)