Rodgers said it will 'hopefully' be sorted out.
In the Liverpool Echo, Rodgers said: “Hopefully Flanno’s contract will be sorted out.
“He is working his way back to fitness and when that happens I am sure the contract will get sorted out.
“He is a big part of the future here. He did remarkably well last year and showed he is player who can play for many years at this level.”
Flanagan has missed the entire season because of a knee injury. This was a season he was hoping to kick on after he nailed down a starting place in the second half of last season, even though he played out of position for the majority of the campaign at left-back, as opposed to his favoured right-back position.
Glen Johnson is out of contract in the summer, while Javier Manquillo has barely been seen in the second half of the campaign - though Flanagan may face competition with the wingers like Jordon Ibe and Lazar Markovic who have been occupying the wing-back role of late when he is eventually considered for selection.
It has been a lengthy period out of the side for Flanagan so he will be eased in as and when, but it's encouraging that a tough tackling, local boy is being kept on by the club. There has been an element of concern surrounding contracts of several players at Anfield but one can't imagine many issues with Flanagan signing a new deal at Anfield.