Hull Live says Brentford are currently in the lead to secure the England Under-21 international's signature this summer having failed in their attempt to buy him 12 months ago.
Lewis-Potter grabbed his first goal on the international stage earlier this month, finding the back of the net for England U21s against Kosovo. And speaking after the game, he admitted his goal would have raised his profile even further.
"Yes, it probably is," the youngster said.
"I've played every single minute for Hull this season and enjoyed every minute of it. Now I've been with England, it's about preparing for these games and getting through them."