diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 97fb371ebd..e4367a04b9 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -15,7 +15,7 @@ jobs:
       # Run regular TUF tests on each OS/Python combination, plus special tests
       # (sslib master) and linters on Linux/Python3.x only.
       matrix:
-        python-version: [3.6, 3.7, 3.8, 3.9]
+        python-version: ["3.6", "3.7", "3.8", "3.9", "3.10"]
         os: [ubuntu-latest, macos-latest, windows-latest]
         toxenv: [py]
         include:
diff --git a/setup.py b/setup.py
index b5b3ad746e..0716124e07 100755
--- a/setup.py
+++ b/setup.py
@@ -101,6 +101,7 @@
     'Programming Language :: Python :: 3.7',
     'Programming Language :: Python :: 3.8',
     'Programming Language :: Python :: 3.9',
+    'Programming Language :: Python :: 3.10',
     'Programming Language :: Python :: Implementation :: CPython',
     'Topic :: Security',
     'Topic :: Software Development'
diff --git a/tests/simple_https_server.py b/tests/simple_https_server.py
index 29b6e40ab7..68d0512f93 100755
--- a/tests/simple_https_server.py
+++ b/tests/simple_https_server.py
@@ -22,8 +22,8 @@
   to verify that https downloads are permitted.
 
 <Reference>
-  ssl.wrap_socket:
-    https://docs.python.org/2/library/ssl.html#functions-constants-and-exceptions
+  ssl.SSLContext.wrap_socket:
+    https://docs.python.org/3/library/ssl.html#ssl.SSLContext.wrap_socket
 
   SimpleHTTPServer:
     http://docs.python.org/library/simplehttpserver.html#module-SimpleHTTPServer
@@ -44,8 +44,9 @@
 httpd = http.server.HTTPServer(('localhost', 0),
    http.server.SimpleHTTPRequestHandler)
 
-httpd.socket = ssl.wrap_socket(
-    httpd.socket, keyfile=keyfile, certfile=certfile, server_side=True)
+context = ssl.SSLContext(ssl.PROTOCOL_TLS_SERVER)
+context.load_cert_chain(certfile, keyfile)
+httpd.socket = context.wrap_socket(httpd.socket, server_side=True)
 
 port_message = 'bind succeeded, server port is: ' \
     + str(httpd.server_address[1])
diff --git a/tox.ini b/tox.ini
index 48475539be..b8359b7772 100644
--- a/tox.ini
+++ b/tox.ini
@@ -4,7 +4,7 @@
 # and then run "tox" from this directory.
 
 [tox]
-envlist = lint,py{36,37,38,39}
+envlist = lint,py{36,37,38,39,310}
 skipsdist = true
 
 [testenv]