diff --git a/pytensor/link/numba/dispatch/slinalg.py b/pytensor/link/numba/dispatch/slinalg.py
index afe8730058..c345834c75 100644
--- a/pytensor/link/numba/dispatch/slinalg.py
+++ b/pytensor/link/numba/dispatch/slinalg.py
@@ -4,7 +4,7 @@
 import numpy as np
 from numba.core import cgutils, types
 from numba.extending import get_cython_function_address, intrinsic, overload
-from numba.np.linalg import _blas_kinds, _copy_to_fortran_order, ensure_lapack
+from numba.np.linalg import _copy_to_fortran_order, ensure_lapack, get_blas_kind
 from scipy import linalg
 
 from pytensor.link.numba.dispatch import basic as numba_basic
@@ -114,7 +114,7 @@ def _get_underlying_float(dtype):
 
 
 def _get_addr_and_float_pointer(dtype, name):
-    d = _blas_kinds[dtype]
+    d = get_blas_kind(dtype)
     func_name = f"{d}{name}"
     float_pointer = _get_float_pointer_for_dtype(d)
     addr = get_cython_function_address("scipy.linalg.cython_lapack", func_name)
@@ -154,10 +154,6 @@ class _LAPACK:
     def __init__(self):
         ensure_lapack()
 
-    @classmethod
-    def test_blas_kinds(cls, dtype):
-        return _blas_kinds[dtype]
-
     @classmethod
     def numba_xtrtrs(cls, dtype):
         """
@@ -233,7 +229,7 @@ def impl(A, B, trans=0, lower=False, unit_diagonal=False):
         else:
             transval = ord("C")
 
-        B_NDIM = 1 if B_is_1d else B.shape[1]
+        B_NDIM = 1 if B_is_1d else int(B.shape[1])
 
         UPLO = val_to_int_ptr(ord("L") if lower else ord("U"))
         TRANS = val_to_int_ptr(transval)
diff --git a/tests/link/numba/test_slinalg.py b/tests/link/numba/test_slinalg.py
index 7a22cd3029..4ab314d1f0 100644
--- a/tests/link/numba/test_slinalg.py
+++ b/tests/link/numba/test_slinalg.py
@@ -14,23 +14,60 @@
 rng = np.random.default_rng(42849)
 
 
+def transpose_func(x, trans):
+    if trans == 0:
+        return x
+    if trans == 1:
+        return x.conj().T
+    if trans == 2:
+        return x.T
+
+
 @pytest.mark.parametrize(
     "b_func, b_size",
     [(pt.matrix, (5, 1)), (pt.matrix, (5, 5)), (pt.vector, (5,))],
     ids=["b_col_vec", "b_matrix", "b_vec"],
 )
-def test_solve_triangular(b_func, b_size):
-    A = pt.matrix("A")
-    b = b_func("b")
+@pytest.mark.parametrize("lower", [True, False], ids=["lower=True", "lower=False"])
+@pytest.mark.parametrize("trans", [0, 1, 2], ids=["trans=N", "trans=C", "trans=T"])
+@pytest.mark.parametrize(
+    "unit_diag", [True, False], ids=["unit_diag=True", "unit_diag=False"]
+)
+# @pytest.mark.parametrize('complex', [True, False], ids=['complex', 'real'])
+def test_solve_triangular(b_func, b_size, lower, trans, unit_diag, complex=False):
+    # TODO: Complex raises ValueError: To change to a dtype of a different size, the last axis must be contiguous, why?
+    complex_dtype = "complex64" if config.floatX.endswith("32") else "complex128"
+    dtype = complex_dtype if complex else config.floatX
 
-    X = pt.linalg.solve_triangular(A, b, lower=True)
+    A = pt.matrix("A", dtype=dtype)
+    b = b_func("b", dtype=dtype)
+
+    X = pt.linalg.solve_triangular(
+        A, b, lower=lower, trans=trans, unit_diagonal=unit_diag
+    )
     f = pytensor.function([A, b], X, mode="NUMBA")
 
-    A_val = np.random.normal(size=(5, 5)).astype(config.floatX)
-    A_sym = A_val @ A_val.T
-    A_tri = np.linalg.cholesky(A_sym)
+    A_val = np.random.normal(size=(5, 5))
+    b = np.random.normal(size=b_size)
+
+    if complex:
+        A_val = A_val + np.random.normal(size=(5, 5)) * 1j
+        b = b + np.random.normal(size=b_size) * 1j
+    A_sym = A_val @ A_val.conj().T
+
+    A_tri = np.linalg.cholesky(A_sym).astype(dtype)
+    if unit_diag:
+        adj_mat = np.ones((5, 5))
+        adj_mat[np.diag_indices(5)] = 1 / np.diagonal(A_tri)
+        A_tri = A_tri * adj_mat
+
+    A_tri = A_tri.astype(dtype)
+    b = b.astype(dtype)
 
-    b = np.random.normal(size=b_size).astype(config.floatX)
+    if not lower:
+        A_tri = A_tri.T
 
     X_np = f(A_tri, b)
-    np.testing.assert_allclose(A_tri @ X_np, b, atol=ATOL, rtol=RTOL)
+    np.testing.assert_allclose(
+        transpose_func(A_tri, trans) @ X_np, b, atol=ATOL, rtol=RTOL
+    )