The 25-year-old has been in a spectacular form since joining the Anfield giants last summer, scoring 41 goals in 46 appearances across all competitions.
On Sunday, the attacker was rewarded by his colleagues for his exceptional performance this term with the PFA Player of the Year prize.
"There will be clubs sniffing around him so it will be interesting to see what Liverpool do," Given told Premier League Daily.
"He seems like a genuine guy and I think he will want to make a bit of history of his own at Liverpool. They are a big club, so why not keep hold of him?
“Jurgen Klopp is getting the best out of him and that will stand him in good stead for the future and I think he will stay at Liverpool."