The Liverpool manager has revealed the club are in talks with the striker's representatives.
Recent reports suggest Sturridge is set to receive a bumper £150,000-a-week new deal at Anfield, while Liverpool have notably struggled during the striker's injury absence.
And Rodgers has revealed that the Reds are indeed in talks with Sturridge and his representatives.
"There are talks ongoing with his representatives but there is no more news than that," the Northern Irishman told reporters.
On the injury front, though, the Liverpool boss explained in more detail that Sturridge had not trained with the team recently and it is too soon for him to be called up for England duty.
"We [Roy Hodgson and Rodgers] agreed it was too soon for Daniel to join up with England irrespective of whether he was involved this weekend or not," he said.
"He hasn't trained with the team at all since his injury and it probably wasn't the right time for him to go.
"He's had a grade one injury now for near on four weeks, which is a long time. Once he's available for Liverpool and playing, then I'm sure Roy will look at him and bring him into the squad."