Former Arsenal midfielder Ray Parlour said on the Alan Brazil Sports Breakfast show on talkSPORT on Wednesday morning that Steven Gerrard should not return to Liverpool in a playing role.
According to The Independent, Gerrard has held discussions with new Liverpool manager Jurgen Klopp.
It has been reported by the British newspaper that the duo have spoken to each other several times on the telephone since last month.
The Independent claims that at the moment the talk is about Gerrard training with Liverpool until January 15 when he is due to return to the USA to rejoin his club Los Angeles Galaxy.
The Major League Soccer outfit are not willing to sanction a loan deal, according to the report, and will demand a transfer fee if Liverpool want to sign Gerrard in a playing capacity.
Former Arsenal midfielder Parlour believes that Liverpool should not sign the 35-year-old, but he has backed the idea of his compatriot becoming a coach at Anfield.
"I am not sure about that one (playing role)," said Parlour on the Alan Brazil Sports Breakfast show on talkSPORT on Wednesday morning. "Coach would be superb."
Liverpool manager Jurgen Klopp has ruled out signing Gerrard in a playing role.
“Of course our doors are always open for him, that is clear,” BT Sport quotes the German coach as saying. “But nothing else. Do you think he should play at this moment or next year. No? Why did you ask me?
"Stevie has a contract with LA Galaxy, he loves this club and he is a legend and when his contract has ended we can talk about different stuff.”