The German star has been strongly linked with a move away from the Merseyside club as he is set to enter the final year of his contract.
A number of top European clubs including Italian giants Juventus are keen to secure his signature, but according to the Liverpool Echo , the Reds are determined to turn down any approaches for the 23-year-old.
Talks over a new deal stalled last season but Liverpool hope to resolve the situation over the coming months.
Can played an important role in the Reds securing Champions League qualification and Jurgen Klopp is planning for the new campaign with the former Bayer Leverkusen man on board.
Even if Can doesn’t put pen to paper on an extension this summer, Liverpool are prepared to keep him for the 2017/18 season – running the risk that he could leave for nothing next year.
Can is currently on international duty at the Confederations Cup in Russia and will miss the start of pre-season training when Klopp’s squad reassemble at Melwood early next month as he takes a belated break.
Speaking towards the end of last season, Klopp said: “I think it is no secret how much I like Emre. He likes the club and that is a completely normal situation.
“We are in talks and there is absolutely no pressure. It is all good. It is two partners with big respect for each other.
“If we can keep good players that makes sense for development and he is one of these good players. I am quite positive.”
Can’s form improved significantly in the second half of last season after finally overcoming a troublesome calf problem.
His stunning volley at Watford won Goal of the Season and secured what turned out to be a crucial triumph in the race for a top-four finish.