diff --git a/.github/workflows/python-tests.yml b/.github/workflows/python-tests.yml
index 6f16faef6f..ef0b95a3fb 100644
--- a/.github/workflows/python-tests.yml
+++ b/.github/workflows/python-tests.yml
@@ -18,18 +18,24 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        python-version: ["3.7", "3.10"]
+        python-version: ["3.7", "3.11"]
         test_name:
           [
             "Repository only",
             "Everything else",
-            "fastai",
             "torch",
-            "tensorflow",
           ]
         include:
-          - python-version: "3.10" # LFS not ran on 3.7
+          - python-version: "3.11" # LFS not ran on 3.7
             test_name: "lfs"
+          - python-version: "3.7"
+            test_name: "fastai"  # fastai not supported on 3.11 -> test it on 3.10
+          - python-version: "3.10"
+            test_name: "fastai"
+          - python-version: "3.7"
+            test_name: "tensorflow" # Tensorflow not supported on 3.11 -> test it on 3.10
+          - python-version: "3.10"
+            test_name: "tensorflow"
 
     steps:
       - uses: actions/checkout@v2
diff --git a/README.md b/README.md
index 5fd62b9cd3..b311ce8dca 100644
--- a/README.md
+++ b/README.md
@@ -3,6 +3,7 @@
 <a href="https://github.com/psf/black"><img alt="Code style: black" src="https://img.shields.io/badge/code%20style-black-000000.svg"></a>
 <a href="https://codecov.io/gh/huggingface/huggingface_hub"><img alt="Code coverage" src="https://codecov.io/gh/huggingface/huggingface_hub/branch/main/graph/badge.svg?token=RXP95LE2XL"></a>
 <a href="https://github.com/huggingface/huggingface_hub/releases"><img alt="GitHub release" src="https://img.shields.io/github/release/huggingface/huggingface_hub.svg"></a>
+<a href="https://github.com/huggingface/huggingface_hub"><img alt="Documentation" src="https://img.shields.io/pypi/pyversions/huggingface_hub.svg"></a>
 <a href="https://huggingface.co/docs/huggingface_hub/index"><img alt="Documentation" src="https://img.shields.io/website/http/huggingface.co/docs/huggingface_hub/index.svg?down_color=red&down_message=offline&up_message=online&label=doc"></a>
 
 ## Welcome to the huggingface_hub library
diff --git a/setup.py b/setup.py
index 4ccd9281e4..53d11ae409 100644
--- a/setup.py
+++ b/setup.py
@@ -108,6 +108,12 @@ def get_version() -> str:
         "License :: OSI Approved :: Apache Software License",
         "Operating System :: OS Independent",
         "Programming Language :: Python :: 3",
+        "Programming Language :: Python :: 3 :: Only",
+        "Programming Language :: Python :: 3.7",
+        "Programming Language :: Python :: 3.8",
+        "Programming Language :: Python :: 3.9",
+        "Programming Language :: Python :: 3.10",
+        "Programming Language :: Python :: 3.11",
         "Topic :: Scientific/Engineering :: Artificial Intelligence",
     ],
     include_package_data=True,