The Spaniard has made three appearances this season.
As it stands, the 30-year-old looks set to leave the Anfield club when his contract expires in a couple of months, having failed to cement a first-team place under Jurgen Klopp, or his predecessor Brendan Rodgers for that matter.
The left-back, who joined from Newcastle United back in 2011, has made just three appearances this season - all of which came in the FA Cup - and the Spaniard admits that his future does not look particularly promising under the German manager.
“I don’t know if they have presented any offers," he told Marca, via The Express. "But I think that various clubs have contacted my agent for next season. I focus on playing.
“Right now the coach is not counting on me. But I find myself very well physically. I am in the perfect conditions and I know that I can have my opportunity.
"Within four or five years I don’t know, but now I find myself like when I was at my best level. If I cannot play here, I will do it somewhere else.”
The writing has looked on the wall for Enrique for some time now, with former manager Rodgers telling him in no uncertain terms that he wasn't part of his plans by refusing to take him on the club's pre-season trips last summer.
Mario Balotelli and Fabio Borini were in the same boat, but those two secured moves away from Anfield before the season kicked off.
Enrique has made 12 Premier League appearances since the start of the 2013-14 season.