diff --git a/pyproject.toml b/pyproject.toml
index f160ad20..3cb7ce47 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -246,6 +246,9 @@ filterwarnings = [
     "ignore:the imp module is deprecated in favour of importlib:DeprecationWarning",
     "ignore:Code cell is missing an id field:FutureWarning",
     "ignore:There is no current event loop:DeprecationWarning",
+    # Intermittent in tests/functional/cli/test_cli.py::test_format_prefix_suffix #1357
+    "ignore:unclosed database in <sqlite3.Connection:ResourceWarning",
+    "ignore:Exception ignored:pytest.PytestUnraisableExceptionWarning",
 ]
 
 [tool.coverage.run]
diff --git a/tests/functional/others/test_trust_notebook.py b/tests/functional/others/test_trust_notebook.py
index db5b4f57..e32145b8 100644
--- a/tests/functional/others/test_trust_notebook.py
+++ b/tests/functional/others/test_trust_notebook.py
@@ -26,6 +26,7 @@ async def test_rmd_notebooks_are_trusted(rmd_file, cm):
         assert cell.metadata.get("trusted", True)
 
 
+@pytest.mark.skip(reason="Fails intermittently on CI, see #1346")
 async def test_ipynb_notebooks_can_be_trusted(
     ipynb_py_file, tmpdir, no_jupytext_version_number, cm
 ):
@@ -76,6 +77,7 @@ async def test_ipynb_notebooks_can_be_trusted(
     await ensure_async(cm.trust_notebook(file))
 
 
+@pytest.mark.skip(reason="Fails intermittently on CI, see #1346")
 async def test_ipynb_notebooks_can_be_trusted_even_with_metadata_filter(
     ipynb_py_file, tmpdir, no_jupytext_version_number, cm
 ):