Reports in the morning newspapers claimed Sturridge is in Boston to see a specialist who will decide if the 25-year-old requires surgery to rectify the problem.
The England international has been limited to just 18 appearances this season as a result of the injury and has scored only five goals this campaign as a result.
With Liverpool also struggling for goals since Luis Suarez left to join Barcelona last summer, Rodgers is keen to get Sturridge back and firing again for next season.
The 25-year-old will therefore miss the final four games of the current campaign to ensure that is the case.
“We’ve found some underlying issues related to Dan’s problems. The staff here are liaising with great medics in America,” Rodgers told a press conference ahead of Saturday’s game with QPR.
“Daniel wants to be available, it’s unfortunate for him on the back of how fantastic he was last season.”