diff --git a/tests/test_spherical_transform.py b/tests/test_spherical_transform.py
index eaf03306..18e4e179 100644
--- a/tests/test_spherical_transform.py
+++ b/tests/test_spherical_transform.py
@@ -180,3 +180,55 @@ def test_transform_forward_healpix(
     flm = hp.sphtfunc.map2alm(f, lmax=L - 1, iter=0)
 
     np.testing.assert_allclose(flm, flm_check, atol=1e-14)
+
+
+def test_spin_exceptions(flm_generator):
+    spin = 10
+    L = 16
+    sampling = "mw"
+
+    flm = flm_generator(L=L, reality=False)
+    f = spherical.inverse(flm, L, spin=0, sampling=sampling, method="jax_ssht")
+
+    with pytest.raises(Warning) as e:
+        spherical.inverse(flm, L, spin=spin, sampling=sampling, method="jax")
+
+    with pytest.raises(Warning) as e:
+        spherical.forward(f, L, spin=spin, sampling=sampling, method="jax")
+
+
+def test_sampling_ssht_backend_exceptions(flm_generator):
+    sampling = "healpix"
+    nside = 6
+    L = 2 * nside
+
+    flm = flm_generator(L=L, reality=False)
+    f = spherical.inverse(flm, L, 0, nside, sampling, "jax_healpy")
+
+    with pytest.raises(ValueError) as e:
+        spherical.inverse(flm, L, 0, nside, sampling, "jax_ssht")
+
+    with pytest.raises(ValueError) as e:
+        spherical.forward(f, L, 0, nside, sampling, "jax_ssht")
+
+
+def test_sampling_healpy_backend_exceptions(flm_generator):
+    sampling = "mw"
+    L = 12
+
+    flm = flm_generator(L=L, reality=False)
+    f = spherical.inverse(flm, L, 0, None, sampling, "jax_ssht")
+
+    with pytest.raises(ValueError) as e:
+        spherical.inverse(flm, L, 0, None, sampling, "jax_healpy")
+
+    with pytest.raises(ValueError) as e:
+        spherical.forward(f, L, 0, None, sampling, "jax_healpy")
+
+
+def test_sampling_exceptions(flm_generator):
+    with pytest.raises(ValueError) as e:
+        spherical.inverse(None, 0, 0, None, method="incorrect")
+
+    with pytest.raises(ValueError) as e:
+        spherical.forward(None, 0, 0, None, method="incorrect")
diff --git a/tests/test_wigner_transform.py b/tests/test_wigner_transform.py
index ae36345f..0c54238e 100644
--- a/tests/test_wigner_transform.py
+++ b/tests/test_wigner_transform.py
@@ -132,3 +132,29 @@ def test_ssht_c_backend_forward_wigner_transform(
         f, L, N, None, sampling, "jax_ssht", reality, L_lower=L_lower
     )
     np.testing.assert_allclose(flmn, flmn_check, atol=1e-12)
+
+
+def test_N_exceptions(flmn_generator):
+    N = 10
+    L = 16
+    flmn = flmn_generator(L=L, N=N)
+    f = base_wigner.inverse(flmn, L, N)
+
+    with pytest.raises(Warning) as e:
+        wigner.inverse(flmn, L, N)
+
+    with pytest.raises(Warning) as e:
+        wigner.forward(f, L, N)
+
+
+def test_sampling_ssht_backend_exceptions(flmn_generator):
+    L = 16
+    N = 1
+    flmn = flmn_generator(L=L, N=N)
+    f = base_wigner.inverse(flmn, L, N)
+
+    with pytest.raises(ValueError) as e:
+        wigner.inverse(flmn, L, N, sampling="healpix", method="jax_ssht")
+
+    with pytest.raises(ValueError) as e:
+        wigner.forward(f, L, N, sampling="healpix", method="jax_ssht")