diff --git a/src/tir/transforms/ir_utils.cc b/src/tir/transforms/ir_utils.cc
index 584b3cbf58f4..c52027acba13 100644
--- a/src/tir/transforms/ir_utils.cc
+++ b/src/tir/transforms/ir_utils.cc
@@ -435,10 +435,19 @@ class IRConvertSSA final : public StmtExprMutator {
  private:
   struct ScopedRedefine {
     ScopedRedefine(IRConvertSSA* parent, Var old_var) : parent(parent), old_var(old_var) {
+      bool is_size_var = old_var->IsInstance<SizeVarNode>();
       if (old_var->type_annotation.defined()) {
-        new_var = Var(old_var->name_hint, old_var->type_annotation);
+        if (is_size_var) {
+          new_var = SizeVar(old_var->name_hint, old_var->type_annotation);
+        } else {
+          new_var = Var(old_var->name_hint, old_var->type_annotation);
+        }
       } else {
-        new_var = Var(old_var->name_hint, old_var->dtype);
+        if (is_size_var) {
+          new_var = SizeVar(old_var->name_hint, old_var->dtype);
+        } else {
+          new_var = Var(old_var->name_hint, old_var->dtype);
+        }
       }
       parent->scope_[old_var.get()].push_back(new_var);
     }
diff --git a/tests/python/tir-transform/test_tir_transform_split_host_device.py b/tests/python/tir-transform/test_tir_transform_split_host_device.py
index 6adfbeb81d54..2d0d8a68d83e 100644
--- a/tests/python/tir-transform/test_tir_transform_split_host_device.py
+++ b/tests/python/tir-transform/test_tir_transform_split_host_device.py
@@ -15,9 +15,10 @@
 # specific language governing permissions and limitations
 # under the License.
 import tvm
-from tvm import te
 import tvm.testing
-from tvm.script import tir as T, ir as I
+from tvm import te
+from tvm.script import ir as I
+from tvm.script import tir as T
 
 
 @tvm.testing.requires_cuda
@@ -345,5 +346,25 @@ def default_function_kernel(
     tvm.ir.assert_structural_equal(expected, after)
 
 
+def test_size_var():
+    @I.ir_module
+    class Module:
+        @T.prim_func
+        def main(var_A: T.handle, var_B: T.handle):
+            T.func_attr({"target": T.target("cuda")})
+            m = T.int64(is_size_var=True)
+            A = T.match_buffer(var_A, (m,))
+            B = T.match_buffer(var_B, (m,))
+            T.attr(T.target("cuda"), "target", 0)
+            blockIdx_x = T.launch_thread("blockIdx.x", m)
+            B_1 = T.Buffer((m,), data=B.data)
+            A_1 = T.Buffer((m,), data=A.data)
+            B_1[blockIdx_x] = A_1[blockIdx_x]
+
+    after = tvm.tir.transform.SplitHostDevice()(Module)
+    assert len(after["main_kernel"].params) == 3
+    assert isinstance(after["main_kernel"].params[2], tvm.tir.SizeVar)
+
+
 if __name__ == "__main__":
     tvm.testing.main()