diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index e9affa9..78f0c6d 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -9,14 +9,8 @@ jobs:
     runs-on: ubuntu-latest
     strategy:
       matrix:
-        python-version: [3.5, 3.6, 3.7, 3.8]
-        taskwarrior-version: [2.5.0, 2.5.1, 2.5.3]
-        exclude:
-          # Taskwarriror 3.5.3 only supported on Python 3.7+.
-          - python-version: 3.5
-            taskwarrior-version: 2.5.3
-          - python-version: 3.6
-            taskwarrior-version: 2.5.3
+        python-version: ["3.8", "3.9", "3.10", "3.11"]
+        taskwarrior-version: [2.6.2]
     steps:
     - uses: actions/checkout@v2
     - name: Set up Python ${{matrix.python-version}}
@@ -25,7 +19,7 @@ jobs:
         python-version: ${{matrix.python-version}}
     - name: Install Taskwarrior ${{matrix.taskwarrior-version}}
       run: |
-        sudo apt-get install -y python-dev cmake build-essential libgnutls28-dev uuid-dev gnutls-bin chrpath libssl-dev libfontconfig1-dev
+        sudo apt-get install -y python3-dev cmake build-essential libgnutls28-dev uuid-dev gnutls-bin chrpath libssl-dev libfontconfig1-dev
         git clone https://github.com/GothenburgBitFactory/taskwarrior.git
         cd taskwarrior
         git checkout v${{matrix.taskwarrior-version}}
diff --git a/setup.py b/setup.py
index f71aa14..3a1c7c8 100644
--- a/setup.py
+++ b/setup.py
@@ -44,11 +44,10 @@
       classifiers=[
           "Development Status :: 5 - Production/Stable",
           "Programming Language :: Python :: 3",
-          "Programming Language :: Python :: 3.4",
-          "Programming Language :: Python :: 3.5",
-          "Programming Language :: Python :: 3.6",
-          "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",
           "License :: OSI Approved :: GNU General Public License (GPL)",
           "Intended Audience :: Developers",
       ],
diff --git a/test_requirements.txt b/test_requirements.txt
index ad11115..4a009be 100644
--- a/test_requirements.txt
+++ b/test_requirements.txt
@@ -1,2 +1,2 @@
 pytest
-tox<3
+tox>=4
diff --git a/tox.ini b/tox.ini
index 6f17a73..1b618a0 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,20 +1,18 @@
 [tox]
-envlist = py{35,36,37,38}-tw{250,251} py{38}-tw{253}
+env_list = py{38,39,310,311}-tw{262}
 downloadcache = {toxworkdir}/_download/
 
 [testenv]
 basepython =
-    py35: python3.5
-    py36: python3.6
-    py37: python3.7
     py38: python3.8
+    py39: python3.9
+    py310: python3.10
+    py311: python3.11
 deps =
     -r{toxinidir}/requirements.txt
     -r{toxinidir}/test_requirements.txt
 setenv =
-    tw250: TASKWARRIOR=v2.5.0
-    tw251: TASKWARRIOR=v2.5.1
-    tw253: TASKWARRIOR=v2.5.3
+    tw262: TASKWARRIOR=v2.6.2
 sitepackages = False
 commands =
     {toxinidir}/.tox_build_taskwarrior.sh "{envdir}" "{toxinidir}"