1. Make fishing rod A enchanted by lure.
2. Put a normal fishing rod B in your inventory.
3. Fish with fishing rod A. The speed of fishing will inevitably increase.
4. When you see bubbles, switch to fishing rod B directly.
5. Pull up the fishing rod.
6. Now, it costs the durability of fishing rod B, rather than A.

Clearly, it can increase the speed of fishing, but it don't cost the durability of fishing rod A. Therefore, it will make it possible to use an enchanted fishing rod without costing the durability.