The club have been in negotiations over a new deal to replace the 20-year-old's existing contract - which expires in the summer of 2017 - for several months now.
Manager Brendan Rodgers has previously said Liverpool have offered him an "incredible" offer but after further talks this week failed to reach a satisfactory conclusion the saga has been postponed until the current campaign is over.
Asked whether there was likely to be a solution found soon Rodgers said: "Not between now and the end of the season.
"It has been made clear by Raheem's representative and the boy himself he just wants to concentrate on his football and see what can be resolved in the summer.
"I am sure it will be resolved and the concentration for Raheem is now on his football and it is clear the terms of when those talks will begin again."
With contract negotiations dragging on Sterling has found himself linked with some of Europe's top clubs, with Manchester City the latest to be linked after reports on Friday they were considering a £50million bid.
