diff --git a/aesara/link/jax/dispatch/scan.py b/aesara/link/jax/dispatch/scan.py
index 9f2c602d89..0ae2e681cb 100644
--- a/aesara/link/jax/dispatch/scan.py
+++ b/aesara/link/jax/dispatch/scan.py
@@ -26,8 +26,6 @@ def scan(*outer_inputs):
             raise NotImplementedError("sit-sot not supported")
         if len(outer_in_shared):
             raise NotImplementedError("shared variables not supported")
-        if len(outer_in_non_seqs):
-            raise NotImplementedError("non sequence are not supported")
 
         # If `output_infos` is empty we need to create an empty initial carry
         # value with the output's shape and dtype
@@ -39,6 +37,7 @@ def scan(*outer_inputs):
 
         init_carry = outer_in_sit_sot
         sequences = outer_in_seqs
+        non_sequences = outer_in_non_seqs
 
         def scan_inner_in_args(carry, x):
             """Create an inner-input expression.
@@ -59,7 +58,7 @@ def scan_inner_in_args(carry, x):
             else:
                 inner_in_sit_sot = carry
 
-            return sum([inner_in_seqs, inner_in_sit_sot], [])
+            return sum([inner_in_seqs, inner_in_sit_sot, non_sequences], [])
 
         def scan_new_carry(inner_outputs):
             """Create a new carry expression
diff --git a/tests/link/jax/test_scan.py b/tests/link/jax/test_scan.py
index 0c2249336a..5685a249ab 100644
--- a/tests/link/jax/test_scan.py
+++ b/tests/link/jax/test_scan.py
@@ -48,6 +48,17 @@
             None,
             lambda op: op.info.n_nit_sot > 0,
         ),
+        # nit-sot, non_seq
+        (
+            lambda c: at.as_tensor(2.0) * c,
+            [],
+            [{}],
+            [at.dscalar("c")],
+            3,
+            [1.0],
+            None,
+            lambda op: op.info.n_nit_sot > 0 and op.info.n_non_seqs > 0,
+        ),
     ],
 )
 def test_xit_xot_types(