The manager is set to replace Manuel Pellegrini in the summer.
The Premier League side will leave the Boleyn Ground at the end of the season.
The Liverpool striker has once again struggled for fitness this season.
The German defender already has 19 caps for his nation, but has not played international football in seven years.
A selection of the latest stories in the media involving Liverpool Football Club this Tuesday morning.
The Black Cats are currently sitting in the bottom three with 13 games remaining.
The winger scored in his side's 2-0 win over Bournemouth on Sunday.
The Greek international failed to score in three appearances for The Cottagers.
Newcastle United have a new striker in their ranks.
Gary Rowett's men's next game is an away trip to managerless Rotherham United.
Champions League finalist Arturo Vidal has dismissed reports suggesting there is any chance of him leaving Juventus to join Liverpool this summer.
A look at players which have seen their careers stall at Tottenham Hotspur.
The former Liverpool man says the youngster is the perfect replacement if Sterling does leave Anfield this summer.