Rodgers has three years remaining on his Celtic contract.
Rodgers has impressed at Celtic since taking over in the summer of 2016.
Tottenham Hotspur host Liverpool at Wembley in the first game following the international break.
Spurs man Winks has struggled with lots of injuries of late.
Danny Murphy has praised the improvement of Tottenham attacker Lucas Moura.
Tottenham Hotspur failed to sign a single player this summer.
The former Liverpool star believes Manchester United fans will be jealous of Jürgen Klopp's side.
Daniel Levy and Spurs are yet to sign any players this summer.
England's World Cup squad boasts a whole host of Liverpool and Spurs stars.
Karius made two blunders in Liverpool's 3-1 Champions League defeat to Real Madrid on Saturday night.