diff --git a/fx2ait/fx2ait/converters/utils.py b/fx2ait/fx2ait/converters/utils.py
index d64cb084a..540024fab 100644
--- a/fx2ait/fx2ait/converters/utils.py
+++ b/fx2ait/fx2ait/converters/utils.py
@@ -86,6 +86,28 @@ def create_binary_op(
         )
         return res
 
+    if (
+        isinstance(rhs, IntVarTensor)
+        and isinstance(rhs._attrs["int_var"], IntImm)
+        and rhs_is_constant
+        and isinstance(lhs, AITTensor)
+        and not isinstance(lhs, IntVarTensor)
+    ):
+        # If rhs is a constant IntVarTensor but lhs is not, proceed
+        rhs = rhs_constant
+        return elementwise(op_type)(lhs, rhs)
+
+    if (
+        isinstance(lhs, IntVarTensor)
+        and isinstance(lhs._attrs["int_var"], IntImm)
+        and lhs_is_constant
+        and isinstance(rhs, AITTensor)
+        and not isinstance(rhs, IntVarTensor)
+    ):
+        # If lhs is a constant IntVarTensor but rhs is not, proceed
+        lhs = lhs_constant
+        return elementwise(op_type)(lhs, rhs)
+
     if isinstance(lhs, IntVarTensor) or isinstance(rhs, IntVarTensor):
         lhs = IntVarTensor(IntImm(lhs)) if isinstance(lhs, int) else lhs
         rhs = IntVarTensor(IntImm(rhs)) if isinstance(rhs, int) else rhs
diff --git a/fx2ait/fx2ait/test/converters/test_ait_binary_op.py b/fx2ait/fx2ait/test/converters/test_ait_binary_op.py
index 1a13daaa9..1da7b11e1 100644
--- a/fx2ait/fx2ait/test/converters/test_ait_binary_op.py
+++ b/fx2ait/fx2ait/test/converters/test_ait_binary_op.py
@@ -167,3 +167,27 @@ def forward(self, input: torch.Tensor) -> torch.Tensor:
             [torch.randn(2, 4).half().cuda()],
             expected_ops={acc_ops.reshape, acc_ops.mul},
         )
+
+    def test_binary_one_intmm_constant_lhs(self) -> None:
+        class TestModule(torch.nn.Module):
+            def forward(self, input: torch.Tensor) -> torch.Tensor:
+                return torch.add(input, input.size()[0])
+
+        model = TestModule().cuda()
+        self.run_test(
+            model,
+            [torch.randn((1, 1)).half().cuda()],
+            expected_ops={acc_ops.add},
+        )
+
+    def test_binary_one_intmm_constant_rhs(self) -> None:
+        class TestModule(torch.nn.Module):
+            def forward(self, input: torch.Tensor) -> torch.Tensor:
+                return torch.add(input.size()[0], input)
+
+        model = TestModule().cuda()
+        self.run_test(
+            model,
+            [torch.randn((1, 1)).half().cuda()],
+            expected_ops={acc_ops.add},
+        )