diff --git a/client_test.go b/client_test.go
index 9e1145c..6d3ebe7 100644
--- a/client_test.go
+++ b/client_test.go
@@ -1116,6 +1116,56 @@ func TestRun(t *testing.T) {
 	assert.Equal(t, "Hello, world!", output)
 }
 
+func TestRunWithVersionlessModel(t *testing.T) {
+	mockServer := httptest.NewServer(http.HandlerFunc(func(w http.ResponseWriter, r *http.Request) {
+		switch r.URL.Path {
+		case "/models/owner/model/predictions":
+			assert.Equal(t, http.MethodPost, r.Method)
+
+			// Check the request body
+			var requestBody map[string]interface{}
+			err := json.NewDecoder(r.Body).Decode(&requestBody)
+			require.NoError(t, err)
+			assert.Equal(t, "Hello", requestBody["input"].(map[string]interface{})["prompt"])
+
+			// Respond with a prediction
+			prediction := replicate.Prediction{
+				ID:     "ndufagtsllfynwqhdngldkdrkq",
+				Model:  "owner/model",
+				Status: replicate.Starting,
+			}
+			w.WriteHeader(http.StatusCreated)
+			json.NewEncoder(w).Encode(prediction)
+		case "/predictions/ndufagtsllfynwqhdngldkdrkq":
+			assert.Equal(t, http.MethodGet, r.Method)
+			prediction := replicate.Prediction{
+				ID:     "ndufagtsllfynwqhdngldkdrkq",
+				Model:  "owner/model",
+				Status: replicate.Succeeded,
+				Output: "Hello, world!",
+			}
+			json.NewEncoder(w).Encode(prediction)
+		default:
+			t.Fatalf("Unexpected request to %s", r.URL.Path)
+		}
+	}))
+	defer mockServer.Close()
+
+	client, err := replicate.NewClient(
+		replicate.WithToken("test-token"),
+		replicate.WithBaseURL(mockServer.URL),
+	)
+	require.NoError(t, err)
+
+	ctx := context.Background()
+	input := replicate.PredictionInput{"prompt": "Hello"}
+	output, err := client.Run(ctx, "owner/model", input, nil)
+
+	require.NoError(t, err)
+	assert.NotNil(t, output)
+	assert.Equal(t, "Hello, world!", output)
+}
+
 func TestRunReturningModelError(t *testing.T) {
 	mockServer := httptest.NewServer(http.HandlerFunc(func(w http.ResponseWriter, r *http.Request) {
 		switch r.URL.Path {