Lewis insists that the Liverpudlian is right to seek advice from experienced former pros like himself, and is backing Price to win a world title in the future.
"David is not that far from a world title fight, but you have to develop," World Boxing News quotes Lewis as saying.
"He has made a wise move looking for more stuff to learn and the opportunity is with me.
"As a past heavyweight champion I know a lot of things he needs to do and working with me has upped his game a lot more."
The rematch takes place at the Echo Arena on July 6.