One newspaper report has suggested that Gerrard could be making a return to Liverpool.
Gerrard brought the curtain down on a 17-year senior career with the Reds in the summer as he swapped Merseyside for Los Angeles by signing for MLS side LA Galaxy.
For some time now, even prior to the appointment of Jurgen Klopp as manager, there seems to have been a clamour to have a former Liverpool player among the coaching staff from certain sections of the fanbase.
Gary McAllister was part of the revamped backroom staff in the summer with Brendan Rodgers, but was relieved of his duties when Klopp was appointed as Reds boss last month - though kept on in an ambassadorial role.
When Gerrard's move to the United States was announced, there was speculation that he could return to the club in their off-season during the winter months in a similar way to David Beckham and Thierry Henry before him, when they have been playing the bulk of their football on the other side of the Atlantic.
The Independent report seems to suggest that for now, contact has been made to allow Gerrard to keep his fitness levels high before he enters the final year of his current deal in California.
The most interesting line in the Independent's article is this: "The manager is now convinced that Gerrard’s presence will help define the standards of professionalism he expects around Melwood, Liverpool’s training ground."
Whether that is playing in the short-term remains to be seen. It's easy to have reservations about these kind of moves without there being a specific role.
However, Klopp seems to have the big personality that could handle Gerrard's presence. You only need to look at the hype surrounding his appointment to see how big a figure he is, the column inches written about him and how well regarded he is for the successful spell he had in charge of Borussia Dortmund.
His predecessor, Brendan Rodgers, didn't seem to carry that kind of aura, and as a result, probably couldn't have had such a big figure in the background. The pressure was so great on him that results taking a turn for the worse will have seen calls for Gerrard - seen as a ready made replacement - to take the helm.
As Klopp once said in a press conference when he managed Dortmund: 'timing is very important'. While at this stage of his management, with time firmly on his side to improve the side and turn them into the force that they would like to be, appointing Gerrard and making use of him in the near future would not be a bad idea. Whether that was as part of his backroom staff, or even within the youth set-up.
Whatever the appointment, it must be paramount that Jurgen Klopp himself is comfortable with it.