Milner has refused to rule out a return to Leeds but insists he wants to remain at Anfield for the time being.
The 34-year-old began his career at Elland Road and with first-team opportunities likely to be limited in his final years, it has been suggested he could return to his boyhood club.
Milner, speaking to Sky Sports, said: "You never know in football, what's around the corner, but I just want to contribute and win as many trophies as I can for Liverpool and add to the great history here.
"I'm biased, but I think the Premier League will be a better place for Leeds in it, and it will be weird to play against them next season.
"It seems a long time ago since I pulled on that shirt, you look back at photos and see how big the shirts were back then."