Sturridge, 25, has been sidelined by hip and thigh injuries and has not played since the FA Cup quarter-final win over Blackburn on 8 April.
Rodgers said: "We'll see if he's going to be back this season or pre-season."
Liverpool have five Premier League games remaining as they look to chase the final qualifying spot for next season's Champions League.
They are seven points behind fourth-placed Manchester United, but can close the gap to four points with victory over Hull on Tuesday.
