diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml
index cc128bf5..d23d622c 100644
--- a/.github/workflows/main.yml
+++ b/.github/workflows/main.yml
@@ -65,10 +65,17 @@ jobs:
         if: ${{ startsWith(matrix.os, 'windows') }}
         run: |
           hatch run cov:nowarn || hatch run test:nowarn --lf
-      - name: Code coverage
-        run: |
-          pip install codecov coverage[toml]
-          codecov
+      - uses: jupyterlab/maintainer-tools/.github/actions/upload-coverage@v1
+
+  coverage:
+    runs-on: ubuntu-latest
+    needs:
+      - test
+    steps:
+      - uses: actions/checkout@v3
+      - uses: jupyterlab/maintainer-tools/.github/actions/report-coverage@v1
+        with:
+          fail_under: 78
 
   docs:
     runs-on: windows-latest
@@ -148,7 +155,7 @@ jobs:
   tests_check: # This job does nothing and is only used for the branch protection
     if: always()
     needs:
-      - test
+      - coverage
       - docs
       - lint
       - check_links
diff --git a/README.md b/README.md
index baa12282..e3d59ec5 100644
--- a/README.md
+++ b/README.md
@@ -1,7 +1,6 @@
 # Jupyter Client
 
 [![Build Status](https://github.com/jupyter/jupyter_client/workflows/CI/badge.svg)](https://github.com/jupyter/jupyter_client/actions)
-[![codecov](https://codecov.io/gh/jupyter/jupyter_client/branch/main/graph/badge.svg?token=kxoFu4KnhT)](https://codecov.io/gh/jupyter/jupyter_client)
 [![Documentation Status](https://readthedocs.org/projects/jupyter-client/badge/?version=latest)](http://jupyter-client.readthedocs.io/en/latest/?badge=latest)
 
 `jupyter_client` contains the reference implementation of the [Jupyter protocol].
diff --git a/codecov.yml b/codecov.yml
deleted file mode 100644
index b75c3e2d..00000000
--- a/codecov.yml
+++ /dev/null
@@ -1,9 +0,0 @@
-coverage:
-  status:
-    project:
-      default:
-        target: auto
-        threshold: 1
-    patch:
-      default:
-        target: 0%
diff --git a/pyproject.toml b/pyproject.toml
index c5db1912..505db1da 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -50,7 +50,6 @@ Source = "https://github.com/jupyter/jupyter_client"
 
 [project.optional-dependencies]
 test = [
-    "codecov",
     "coverage",
     "ipykernel>=6.14",
     "mypy",
@@ -157,6 +156,10 @@ omit = [
     "jupyter_client/ssh/forward.py"
 ]
 
+[tool.coverage.run]
+relative_files = true
+source = ["jupyter_client"]
+
 [tool.mypy]
 check_untyped_defs = true
 disallow_any_generics = false