Gerrard's side now sits three points behind Celtic - his former manager Brendan Rodgers at the helm of Rangers' Old Firm rivals - having played an extra game.
Kent signed a new contract at Liverpool previous year which runs until the summer of 2022.
Steven Gerrard has, however, already stated a desire to hang onto the gifted attacker and Kent isn't ruling out that prospect. So it's a bit out of my hands.
"Whether that leads to an extension here or on to a different challenge, I don't know".
Steven Gerrard insists that he has to earn his managerial stripes before he can be considered for the manager's job at former club Liverpool, adding that his legendary status at Anfield doesn't give him a "divine right" for the role.
The Old Firm derby awaits Gerrard's Rangers.
Kent was one of many Rangers players who contended for man-of-the-match plaudits in the club's first league victory over Celtic since 2012, his eye-catching display including the assist for Ryan Jack's winning goal. I think the world of him and I think he deserves this night'.
'It's most definitely up there, so to be a part of a victorious team is an unbelievable feeling.
"As you could imagine the changing room is buzzing with that and we go into the break now on a high". We have a lot of work to do in terms of our game, we have some work to do in the transfer market, that we want to get players in.
"To us, it's just three points but we have got ourselves back into a good position in the league".
"It means so much to this football club".
Celtic did manage to pull a goal back through Callum McGregor, playing as a make-shift left back in place of Kieran Tierney, but he was ruled marginally offside. It's up to us to carry on producing performances like that.
While the title was not necessarily their ambition for this campaign, they are set to push Celtic all the way this season, with the Hoops finding themselves in a title race for the first time in a number of years.