diff --git a/.github/workflows/check-links.yml b/.github/workflows/check-links.yml
new file mode 100644
index 0000000..3a8e3c4
--- /dev/null
+++ b/.github/workflows/check-links.yml
@@ -0,0 +1,19 @@
+name: Check links
+
+permissions:
+  contents: read
+  pull-requests: write
+
+on:
+  push:
+
+jobs:
+  markdown-link-check:
+    runs-on: ubuntu-latest
+
+    steps:
+      - uses: actions/checkout@v4
+
+      - uses: tcort/github-action-markdown-link-check@v1
+        with:
+          use-quiet-mode: 'no'
diff --git a/README.md b/README.md
index 6b93432..5607440 100644
--- a/README.md
+++ b/README.md
@@ -17,7 +17,7 @@ poetry run pytest
 ## Metrics
 
 - [Codecov](https://app.codecov.io/gh/WillGibson/python-sandpit)
--
+
 ## Mutation testing
 
 Using [mutmut](https://github.com/boxed/mutmut) as a tool to help identify gaps in our unit test coverage.