diff --git a/integrations/pinecone/tests/test_document_store.py b/integrations/pinecone/tests/test_document_store.py
index 96c5ef25d..6fac67049 100644
--- a/integrations/pinecone/tests/test_document_store.py
+++ b/integrations/pinecone/tests/test_document_store.py
@@ -108,6 +108,11 @@ def test_write_documents(self, document_store: PineconeDocumentStore):
         docs = [Document(id="1")]
         assert document_store.write_documents(docs) == 1
 
+    @pytest.mark.xfail(
+        run=True, reason="Pinecone supports overwriting by default, but it takes a while for it to take effect"
+    )
+    def test_write_documents_duplicate_overwrite(self, document_store: PineconeDocumentStore): ...
+
     @pytest.mark.skip(reason="Pinecone only supports UPSERT operations")
     def test_write_documents_duplicate_fail(self, document_store: PineconeDocumentStore): ...