diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index b5174d5e..dafab884 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -26,15 +26,15 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-latest]
-        python-version: ["3.8", "3.9", "3.10"]
-        sphinx: [">=5,<6"]
+        python-version: ["3.8", "3.9", "3.10", "3.11"]
+        sphinx: ["~=5.0","~=6.0","~=7.0"]
         include:
           - os: windows-latest
             python-version: 3.9
-            sphinx: ">=5,<6"
+            sphinx: "~=5.0"
           - os: macos-latest
             python-version: 3.9
-            sphinx: ">=5,<6"
+            sphinx: "~=5.0"
 
     runs-on: ${{ matrix.os }}
 
@@ -44,10 +44,29 @@ jobs:
       uses: actions/setup-python@v4
       with:
         python-version: ${{ matrix.python-version }}
+        cache: pip
+    - name: Install myst-nb with Sphinx ${{ matrix.sphinx }}
+      run: |
+        pip install --upgrade pip
+        pip install --upgrade "Sphinx${{ matrix.sphinx }}" -e .[testing]
+
+    - name: Run pytest
+      run: pytest --durations=10
+
+  coverage:
+    needs: [tests]
+    runs-on: ubuntu-latest
+
+    steps:
+    - uses: actions/checkout@v3
+    - name: Set up Python ${{ matrix.python-version }}
+      uses: actions/setup-python@v4
+      with:
+        python-version: 3.11
+        cache: pip
     - name: Install dependencies
       run: |
-        python -m pip install --upgrade pip
-        pip install "sphinx${{ matrix.sphinx }}"
+        pip install --upgrade pip
         pip install -e .[testing]
 
     - name: Run pytest
@@ -59,13 +78,11 @@ jobs:
       # this is why we run `coverage xml` afterwards (required by codecov)
 
     - name: Upload to Codecov
-      if: github.repository == 'executablebooks/MyST-NB' && matrix.python-version == '3.9' && matrix.os == 'ubuntu-latest'
       uses: codecov/codecov-action@v3
       with:
         name: myst-nb-pytests
         flags: pytests
         files: ./coverage.xml
-        fail_ci_if_error: true
 
   publish:
 
diff --git a/pyproject.toml b/pyproject.toml
index cf333e5e..fc27f2c9 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -38,10 +38,10 @@ dependencies = [
     "ipython",
     "jupyter-cache>=0.5,<0.7",
     "nbclient",  # nbclient version pinned by jupyter-client
-    "myst-parser~=1.0.0",
+    "myst-parser>=0.18.0",
     "nbformat~=5.0",
     "pyyaml",
-    "sphinx>=4,<6",
+    "sphinx>=4",
     "typing-extensions",
     # ipykernel is not a requirement of the library,
     # but is a common requirement for users (registers the python3 kernel)
@@ -79,7 +79,7 @@ rtd = [
     "numpy",
     "pandas",
     "plotly",
-    "sphinx-book-theme~=1.0.0",
+    "sphinx-book-theme>=0.3",
     "sphinx-copybutton",
     "sphinx-design~=0.4.0",
     "sphinxcontrib-bibtex",