diff --git a/tests/test_embed_cli.py b/tests/test_embed_cli.py
index 4de0563..9ab7f18 100644
--- a/tests/test_embed_cli.py
+++ b/tests/test_embed_cli.py
@@ -216,3 +216,41 @@ def test_similar_by_content_cli(tmpdir, user_path_with_embeddings, scenario):
         "content": None,
         "metadata": None,
     }
+
+
+@pytest.mark.parametrize("use_stdin", (False, True))
+@pytest.mark.parametrize(
+    "filename,content",
+    (
+        ("phrases.csv", "id,phrase\n1,hello world\n2,goodbye world"),
+        ("phrases.tsv", "id\tphrase\n1\thello world\n2\tgoodbye world"),
+        (
+            "phrases.jsonl",
+            '{"id": 1, "phrase": "hello world"}\n{"id": 2, "phrase": "goodbye world"}',
+        ),
+        (
+            "phrases.json",
+            '[{"id": 1, "phrase": "hello world"}, {"id": 2, "phrase": "goodbye world"}]',
+        ),
+    ),
+)
+def test_embed_multi_file_input(tmpdir, use_stdin, filename, content):
+    db_path = tmpdir / "embeddings.db"
+    args = ["embed-multi", "phrases", "-d", str(db_path), "-m", "embed-demo"]
+    input = None
+    if use_stdin:
+        input = content
+        args.append("-")
+    else:
+        path = tmpdir / filename
+        path.write_text(content, "utf-8")
+        args.append(str(path))
+    # Auto-detection can't detect JSON-nl, so make that explicit
+    if filename.endswith(".jsonl"):
+        args.extend(("--format", "nl"))
+    runner = CliRunner()
+    result = runner.invoke(cli, args, input=input)
+    assert result.exit_code == 0
+    # Check that everything was embedded correctly
+    db = sqlite_utils.Database(str(db_path))
+    assert db["embeddings"].count == 2