diff --git a/.mypy.ini b/.mypy.ini
index ef871684..9bf522d4 100644
--- a/.mypy.ini
+++ b/.mypy.ini
@@ -18,6 +18,14 @@
 # ansible-core has partial typing information
 follow_untyped_imports = True
 
+[mypy-docker.*]
+# Docker SDK for Python has partial typing information
+follow_untyped_imports = True
+
 [mypy-ansible_collections.community.internal_test_tools.*]
 # community.internal_test_tools has no typing information
 ignore_missing_imports = True
+
+[mypy-jsondiff.*]
+# jsondiff has no typing information
+ignore_missing_imports = True
diff --git a/antsibull-nox.toml b/antsibull-nox.toml
index 33f52dbb..d37d52b7 100644
--- a/antsibull-nox.toml
+++ b/antsibull-nox.toml
@@ -27,7 +27,7 @@ run_yamllint = true
 yamllint_config = ".yamllint"
 yamllint_config_plugins = ".yamllint-docs"
 yamllint_config_plugins_examples = ".yamllint-examples"
-run_mypy = false
+run_mypy = true
 mypy_ansible_core_package = "ansible-core>=2.19.0"
 mypy_config = ".mypy.ini"
 mypy_extra_deps = [
@@ -35,7 +35,11 @@ mypy_extra_deps = [
     "paramiko",
     "urllib3",
     "requests",
+    "types-mock",
+    "types-paramiko",
+    "types-pywin32",
     "types-PyYAML",
+    "types-requests",
 ]
 
 [sessions.docs_check]