diff --git a/tests/link/test_jax.py b/tests/link/test_jax.py
index 5c1576c7d7..b5303978f4 100644
--- a/tests/link/test_jax.py
+++ b/tests/link/test_jax.py
@@ -3,6 +3,7 @@
 
 import numpy as np
 import pytest
+from jax._src.errors import NonConcreteBooleanIndexError
 from packaging.version import parse as version_parse
 
 import aesara.scalar.basic as aes
@@ -674,15 +675,11 @@ def test_jax_Subtensors_omni():
     compare_jax_and_py(out_fg, [])
 
 
-@pytest.mark.xfail(
-    version_parse(jax.__version__) >= version_parse("0.2.12"),
-    reason="Omnistaging cannot be disabled",
-)
 def test_jax_IncSubtensor():
     rng = np.random.default_rng(213234)
 
     x_np = rng.uniform(-1, 1, size=(3, 4, 5)).astype(config.floatX)
-    x_at = at.arange(3 * 4 * 5).reshape((3, 4, 5)).astype(config.floatX)
+    x_at = at.constant(np.arange(3 * 4 * 5).reshape((3, 4, 5)).astype(config.floatX))
 
     # "Set" basic indices
     st_at = at.as_tensor_variable(np.array(-10.0, dtype=config.floatX))
@@ -707,7 +704,7 @@ def test_jax_IncSubtensor():
         rng.uniform(-1, 1, size=(2, 4, 5)).astype(config.floatX)
     )
     out_at = at_subtensor.set_subtensor(x_at[np.r_[0, 2]], st_at)
-    assert isinstance(out_at.owner.op, at_subtensor.AdvancedIncSubtensor1)
+    assert isinstance(out_at.owner.op, at_subtensor.AdvancedIncSubtensor)
     out_fg = FunctionGraph([], [out_at])
     compare_jax_and_py(out_fg, [])
 
@@ -717,14 +714,8 @@ def test_jax_IncSubtensor():
     out_fg = FunctionGraph([], [out_at])
     compare_jax_and_py(out_fg, [])
 
-    st_at = at.as_tensor_variable(x_np[[0, 2], 0, :3])
-    out_at = at_subtensor.set_subtensor(x_at[[0, 2], 0, :3], st_at)
-    assert isinstance(out_at.owner.op, at_subtensor.AdvancedIncSubtensor)
-    out_fg = FunctionGraph([], [out_at])
-    compare_jax_and_py(out_fg, [])
-
     # "Set" boolean indices
-    mask_at = at.as_tensor_variable(x_np) > 0
+    mask_at = at.constant(x_np > 0)
     out_at = at_subtensor.set_subtensor(x_at[mask_at], 0.0)
     assert isinstance(out_at.owner.op, at_subtensor.AdvancedIncSubtensor)
     out_fg = FunctionGraph([], [out_at])
@@ -753,7 +744,7 @@ def test_jax_IncSubtensor():
         rng.uniform(-1, 1, size=(2, 4, 5)).astype(config.floatX)
     )
     out_at = at_subtensor.inc_subtensor(x_at[np.r_[0, 2]], st_at)
-    assert isinstance(out_at.owner.op, at_subtensor.AdvancedIncSubtensor1)
+    assert isinstance(out_at.owner.op, at_subtensor.AdvancedIncSubtensor)
     out_fg = FunctionGraph([], [out_at])
     compare_jax_and_py(out_fg, [])
 
@@ -763,18 +754,50 @@ def test_jax_IncSubtensor():
     out_fg = FunctionGraph([], [out_at])
     compare_jax_and_py(out_fg, [])
 
-    st_at = at.as_tensor_variable(x_np[[0, 2], 0, :3])
-    out_at = at_subtensor.inc_subtensor(x_at[[0, 2], 0, :3], st_at)
+    # "Increment" boolean indices
+    mask_at = at.constant(x_np > 0)
+    out_at = at_subtensor.set_subtensor(x_at[mask_at], 1.0)
     assert isinstance(out_at.owner.op, at_subtensor.AdvancedIncSubtensor)
     out_fg = FunctionGraph([], [out_at])
     compare_jax_and_py(out_fg, [])
 
-    # "Increment" boolean indices
+
+def test_jax_IncSubtensors_unsupported():
+    rng = np.random.default_rng(213234)
+    x_np = rng.uniform(-1, 1, size=(3, 4, 5)).astype(config.floatX)
+    x_at = at.constant(np.arange(3 * 4 * 5).reshape((3, 4, 5)).astype(config.floatX))
+
+    mask_at = at.as_tensor(x_np) > 0
+    out_at = at_subtensor.set_subtensor(x_at[mask_at], 0.0)
+    assert isinstance(out_at.owner.op, at_subtensor.AdvancedIncSubtensor)
+    out_fg = FunctionGraph([], [out_at])
+    with pytest.raises(
+        NonConcreteBooleanIndexError, match="Array boolean indices must be concrete"
+    ):
+        compare_jax_and_py(out_fg, [])
+
     mask_at = at.as_tensor_variable(x_np) > 0
     out_at = at_subtensor.set_subtensor(x_at[mask_at], 1.0)
     assert isinstance(out_at.owner.op, at_subtensor.AdvancedIncSubtensor)
     out_fg = FunctionGraph([], [out_at])
-    compare_jax_and_py(out_fg, [])
+    with pytest.raises(
+        NonConcreteBooleanIndexError, match="Array boolean indices must be concrete"
+    ):
+        compare_jax_and_py(out_fg, [])
+
+    st_at = at.as_tensor_variable(x_np[[0, 2], 0, :3])
+    out_at = at_subtensor.set_subtensor(x_at[[0, 2], 0, :3], st_at)
+    assert isinstance(out_at.owner.op, at_subtensor.AdvancedIncSubtensor)
+    out_fg = FunctionGraph([], [out_at])
+    with pytest.raises(IndexError, match="Array slice indices must have static"):
+        compare_jax_and_py(out_fg, [])
+
+    st_at = at.as_tensor_variable(x_np[[0, 2], 0, :3])
+    out_at = at_subtensor.inc_subtensor(x_at[[0, 2], 0, :3], st_at)
+    assert isinstance(out_at.owner.op, at_subtensor.AdvancedIncSubtensor)
+    out_fg = FunctionGraph([], [out_at])
+    with pytest.raises(IndexError, match="Array slice indices must have static"):
+        compare_jax_and_py(out_fg, [])
 
 
 def test_jax_ifelse():