diff --git a/pytensor/link/numba/dispatch/random.py b/pytensor/link/numba/dispatch/random.py
index 50c9bf4578..36618ceb26 100644
--- a/pytensor/link/numba/dispatch/random.py
+++ b/pytensor/link/numba/dispatch/random.py
@@ -102,6 +102,15 @@ def random(rng, p):
     return random
 
 
+@numba_core_rv_funcify.register(ptr.StudentTRV)
+def numba_core_StudentTRV(op, node):
+    @numba_basic.numba_njit
+    def random_fn(rng, df, loc, scale):
+        return loc + scale * rng.standard_t(df)
+
+    return random_fn
+
+
 @numba_core_rv_funcify.register(ptr.HalfNormalRV)
 def numba_core_HalfNormalRV(op, node):
     @numba_basic.numba_njit
diff --git a/tests/link/numba/test_random.py b/tests/link/numba/test_random.py
index d2301a54cb..c311e87657 100644
--- a/tests/link/numba/test_random.py
+++ b/tests/link/numba/test_random.py
@@ -592,6 +592,23 @@ def test_aligned_RandomVariable(rv_op, dist_args, size):
             "gumbel_r",
             lambda *args: args,
         ),
+        (
+            ptr.t,
+            [
+                (pt.scalar(), np.array(np.e, dtype=np.float64)),
+                (
+                    pt.dvector(),
+                    np.array([1.0, 2.0], dtype=np.float64),
+                ),
+                (
+                    pt.dscalar(),
+                    np.array(np.pi, dtype=np.float64),
+                ),
+            ],
+            (2,),
+            "t",
+            lambda *args: args,
+        ),
     ],
 )
 def test_unaligned_RandomVariable(rv_op, dist_args, base_size, cdf_name, params_conv):