diff --git a/GPy/testing/model_tests.py b/GPy/testing/model_tests.py
index 009b4848..8ff06e65 100644
--- a/GPy/testing/model_tests.py
+++ b/GPy/testing/model_tests.py
@@ -704,7 +704,19 @@ class GradientTests(np.testing.TestCase):
         lik = GPy.likelihoods.Gaussian()
         m = GPy.models.GPVariationalGaussianApproximation(X, Y, kernel=kern, likelihood=lik)
         self.assertTrue(m.checkgrad())
-
+        
+    def test_ssgplvm(self):
+        from GPy import kern
+        from GPy.models import SSGPLVM
+        from GPy.examples.dimensionality_reduction import _simulate_matern
+    
+        D1, D2, D3, N, num_inducing, Q = 13, 5, 8, 45, 3, 9
+        _, _, Ylist = _simulate_matern(D1, D2, D3, N, num_inducing, False)
+        Y = Ylist[0]
+        k = kern.Linear(Q, ARD=True)  # + kern.white(Q, _np.exp(-2)) # + kern.bias(Q)
+        # k = kern.RBF(Q, ARD=True, lengthscale=10.)
+        m = SSGPLVM(Y, Q, init="rand", num_inducing=num_inducing, kernel=k, group_spike=True)
+        self.assertTrue(m.checkgrad())
 
 if __name__ == "__main__":
     print("Running unit tests, please be (very) patient...")