diff --git a/pytensor/tensor/rewriting/shape.py b/pytensor/tensor/rewriting/shape.py
index edac16bdee..c395cd70ab 100644
--- a/pytensor/tensor/rewriting/shape.py
+++ b/pytensor/tensor/rewriting/shape.py
@@ -48,7 +48,7 @@
 )
 from pytensor.tensor.subtensor import Subtensor, get_idx_list
 from pytensor.tensor.type import TensorType, discrete_dtypes, integer_dtypes
-from pytensor.tensor.type_other import NoneConst
+from pytensor.tensor.type_other import NoneConst, NoneTypeT
 
 
 class ShapeFeature(Feature):
@@ -974,6 +974,35 @@ def local_reshape_lift(fgraph, node):
         return [e]
 
 
+@register_useless
+@register_canonicalize
+@register_stabilize
+@register_specialize
+@node_rewriter([SpecifyShape])
+def local_useless_specify_shape(fgraph, node):
+    """Remove SpecifyShape when the asserted shapes are already encoded in the static type of the input."""
+    x, *shape = node.inputs
+    for static_dim, specified_dim in zip(x.type.shape, shape, strict=True):
+        if isinstance(specified_dim.type, NoneTypeT):
+            continue
+        if static_dim is None:
+            # There is an unknown static dimension that is being specified
+            return None
+        if not (
+            isinstance(specified_dim, Constant) and specified_dim.data == static_dim
+        ):
+            # The specified dim is either:
+            # 1. Not constant or
+            # 2. Constant that does not match the static dim
+            # Either way, we must keep the SpecifyShape
+            return None
+
+    # If we arrived here, it means SpecifyShape was already encoded in the static shape
+    # We don't need it
+    copy_stack_trace(node.outputs[0], x)
+    return [x]
+
+
 @register_infer_shape
 @register_useless
 @register_canonicalize
@@ -1189,10 +1218,7 @@ def local_useless_dimshuffle_in_reshape(fgraph, node):
 @register_specialize
 @node_rewriter([Unbroadcast])
 def local_useless_unbroadcast(fgraph, node):
-    """Remove `Unbroadcast` if it does not actually change the broadcasting pattern.
-
-    TODO: Implement equivalent rewrite for SpecifyShape
-    """
+    """Remove `Unbroadcast` if it does not actually change the broadcasting pattern."""
     if isinstance(node.op, Unbroadcast):
         x = node.inputs[0]
         if x.type.ndim == node.outputs[0].type.ndim and all(
diff --git a/tests/tensor/rewriting/test_shape.py b/tests/tensor/rewriting/test_shape.py
index 8392423a58..f4c529a0d2 100644
--- a/tests/tensor/rewriting/test_shape.py
+++ b/tests/tensor/rewriting/test_shape.py
@@ -23,6 +23,7 @@
     ShapeFeature,
     local_reshape_to_dimshuffle,
     local_useless_reshape,
+    local_useless_specify_shape,
 )
 from pytensor.tensor.shape import (
     Reshape,
@@ -476,6 +477,30 @@ def test_vector_dim_err(self):
             shape_feature.same_shape(x, o, 0, 1)
 
 
+def test_useless_specify_shape():
+    x = tensor("x", shape=(None, 5, 3))
+
+    # We avoid the helper specify_shape that optimizes some (but not all) cases eagerly
+    ss = SpecifyShape()
+
+    out = ss(x, None, 5, None)
+    assert isinstance(out.owner.op, SpecifyShape)
+    ret = local_useless_specify_shape.transform(None, out.owner)
+    assert ret == [x]
+
+    # SpecifyShape is needed to enfore unknown dim is 3
+    out = ss(x, 3, 5, None)
+    assert isinstance(out.owner.op, SpecifyShape)
+    ret = local_useless_specify_shape.transform(None, out.owner)
+    assert ret is None
+
+    # SpecifyShape is needed to raise mismatch between static and specified dim
+    out = ss(x, None, 5, 4)
+    assert isinstance(out.owner.op, SpecifyShape)
+    ret = local_useless_specify_shape.transform(None, out.owner)
+    assert ret is None
+
+
 @pytest.mark.parametrize(
     "shape",
     [lscalar(), iscalar()],