diff --git a/CHANGES b/CHANGES
index 320039365..3cca1dee3 100644
--- a/CHANGES
+++ b/CHANGES
@@ -15,6 +15,7 @@ Dependencies
 * LaTeX builder with :confval:`latex_engine` set to ``'xelatex'`` or to
   ``'lualatex'`` requires (by default) the ``FreeFont`` fonts,
   which in Ubuntu xenial are provided by package ``fonts-freefont-otf``.
+* requests 2.5.0 or above
 
 Incompatible changes
 --------------------
diff --git a/setup.py b/setup.py
index ab81cace3..50c4b3f3a 100644
--- a/setup.py
+++ b/setup.py
@@ -23,7 +23,7 @@ install_requires = [
     'babel>=1.3,!=2.0',
     'alabaster>=0.7,<0.8',
     'imagesize',
-    'requests>=2.0.0',
+    'requests>=2.5.0',
     'setuptools',
     'packaging',
 ]
diff --git a/sphinx/util/requests.py b/sphinx/util/requests.py
index 48cf5cd28..9abd4f2f5 100644
--- a/sphinx/util/requests.py
+++ b/sphinx/util/requests.py
@@ -53,13 +53,6 @@ else:
     except (pkg_resources.DistributionNotFound,
             pkg_resources.VersionConflict):
         pass  # ignored
-    except pkg_resources.UnknownExtra:
-        warnings.warn(
-            'Some links may return broken results due to being unable to '
-            'check the Server Name Indication (SNI) in the returned SSL cert '
-            'against the hostname in the url requested. Recommended to '
-            'install requests-2.4.1+.'
-        )
 
 if False:
     # For type annotation