While he is keen to avoid putting too much pressure on 18-year-old Gilmour so early in his Premier League career, Lampard agrees that his skillset is similar to that of Scholes.
“Paul Scholes is obviously one of the greatest midfield players I've played against in the Premier League," he said.
“He would always pick the right pass, he had incredible range. If you did try and jump from midfield and get to him and get close to him he'd just play it around the corner because he knew you were coming. And Billy has shown early signs of that kind of ability.
“I'm not comparing him to Scholesy, not way at all, but in terms of those basics that you mentioned, then Billy certainly has them and that's a great platform to build hopefully a fantastic career."