diff --git a/.azure-pipelines.yml b/.azure-pipelines.yml
index ed5a449..9f17a6a 100644
--- a/.azure-pipelines.yml
+++ b/.azure-pipelines.yml
@@ -19,18 +19,18 @@ stages:
       - task: UsePythonVersion@0
         displayName: Set up python
         inputs:
-          versionSpec: 3.7
+          versionSpec: 3.8
 
       - bash: python .azure-pipelines/syntax-validation.py
-        displayName: Syntax validation (3.7)
+        displayName: Syntax validation (3.8)
 
       - task: UsePythonVersion@0
         displayName: Set up python
         inputs:
-          versionSpec: 3.10
+          versionSpec: 3.11
 
       - bash: python .azure-pipelines/syntax-validation.py
-        displayName: Syntax validation (3.10)
+        displayName: Syntax validation (3.11)
 
       # Run flake8 validation
       - bash: |
@@ -46,14 +46,14 @@ stages:
       vmImage: ubuntu-latest
     strategy:
       matrix:
-        python37:
-          PYTHON_VERSION: 3.7
         python38:
           PYTHON_VERSION: 3.8
         python39:
           PYTHON_VERSION: 3.9
         python310:
           PYTHON_VERSION: 3.10
+        python311:
+          PYTHON_VERSION: 3.11
     steps:
     - template: .azure-pipelines/ci.yml
 
@@ -62,14 +62,14 @@ stages:
       vmImage: macOS-latest
     strategy:
       matrix:
-        python37:
-          PYTHON_VERSION: 3.7
         python38:
           PYTHON_VERSION: 3.8
         python39:
           PYTHON_VERSION: 3.9
         python310:
           PYTHON_VERSION: 3.10
+        python311:
+          PYTHON_VERSION: 3.11
     steps:
     - template: .azure-pipelines/ci.yml
 
@@ -78,14 +78,14 @@ stages:
       vmImage: windows-latest
     strategy:
       matrix:
-        python37:
-          PYTHON_VERSION: 3.7
         python38:
           PYTHON_VERSION: 3.8
         python39:
           PYTHON_VERSION: 3.9
         python310:
           PYTHON_VERSION: 3.10
+        python311:
+          PYTHON_VERSION: 3.11
     steps:
     - template: .azure-pipelines/ci.yml
 
diff --git a/HISTORY.rst b/HISTORY.rst
index 82297b4..efebf9b 100644
--- a/HISTORY.rst
+++ b/HISTORY.rst
@@ -3,7 +3,7 @@ History
 
 3.0.0 (2022-01-??)
 ------------------
-* Drop Python 3.6 support
+* Drop Python 3.6, 3.7 support
 * The run() function now returns a subprocess.CompletedProcess object,
   which no longer allows array access operations
   (those were deprecated in `#60 <https://github.com/DiamondLightSource/python-procrunner/pull/60>`_)
diff --git a/setup.cfg b/setup.cfg
index 18d5a7a..4a88253 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -10,10 +10,10 @@ classifiers =
     License :: OSI Approved :: BSD License
     Natural Language :: English
     Programming Language :: Python :: 3
-    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
     Operating System :: OS Independent
     Topic :: Software Development :: Libraries :: Python Modules
 license = BSD
@@ -29,7 +29,7 @@ include_package_data = True
 packages = procrunner
 package_dir =
     =src
-python_requires = >=3.7
+python_requires = >=3.8
 zip_safe = False
 
 [options.packages.find]