Everton manager Carlo Ancelotti hopes to count on Jonjoe Kenny in the coming season.
The right-back is attracting interest from many clubs around Europe.
But the Liverpool Echo claims the 23-year-old may stay.
Ancelotti wants a revamp at righ-back, with Seamus Coleman nearing the end of his career.
Kenny will be with the first team for preseason training as he returns from his loan spell with Schalke in Germany.