diff --git a/qiskit/transpiler/passes/basis/basis_translator.py b/qiskit/transpiler/passes/basis/basis_translator.py
index b7112e2f01a4..9fdce5eeead0 100644
--- a/qiskit/transpiler/passes/basis/basis_translator.py
+++ b/qiskit/transpiler/passes/basis/basis_translator.py
@@ -134,16 +134,19 @@ def run(self, dag):
                             node.op.params, node.op.name,
                             target_params, target_dag))
 
-                # Convert target to circ and back to assign_parameters, since
-                # DAGCircuits won't have a ParameterTable.
-                from qiskit.converters import dag_to_circuit, circuit_to_dag
-                target_circuit = dag_to_circuit(target_dag)
+                if node.op.params:
+                    # Convert target to circ and back to assign_parameters, since
+                    # DAGCircuits won't have a ParameterTable.
+                    from qiskit.converters import dag_to_circuit, circuit_to_dag
+                    target_circuit = dag_to_circuit(target_dag)
 
-                target_circuit.assign_parameters(
-                    dict(zip_longest(target_params, node.op.params)),
-                    inplace=True)
+                    target_circuit.assign_parameters(
+                        dict(zip_longest(target_params, node.op.params)),
+                        inplace=True)
 
-                bound_target_dag = circuit_to_dag(target_circuit)
+                    bound_target_dag = circuit_to_dag(target_circuit)
+                else:
+                    bound_target_dag = target_dag
 
                 if (len(bound_target_dag.op_nodes()) == 1
                         and len(bound_target_dag.op_nodes()[0].qargs) == len(node.qargs)):