The 33-year-old will be available for a free transfer at the end of the 2019/2020 season unless a new deal is agreed between the two parties.
Milner and Liverpool have been in discussions about extending his contract beyond the end of the season, but the former England international says he is yet to hear about the progress of those talks.
"As it stands, last year we spoke to the club and asked them if they wanted to do something and they said not at that time," Milner told UK media.
"We haven't heard anything since, so that's where we are at.
"All I can do is concentrate on my football and do what I can, but in terms of where I am with my contract, that's what has happened up until now and I haven't heard anything from the club."
"Everyone pipes on about my age and stuff [and] I understand you are going to get that," Milner said.
"There are three things to it – availability, fitness and performance level. Hopefully I am delivering all three."
Milner has shown his versatility during his time at Anfield as Klopp has deployed the former Leeds United, Aston Villa and Newcastle United man in a number of positions including filling in at left-back in times of emergency.
Milner joined Liverpool on a free transfer from Manchester City in the summer of 2015 and he finally laid his hands on a trophy at Anfield following last season’s Champions League final triumph over Tottenham Hotspurs.
