Both men failed to complete the full 90 minutes on Saturday as the Reds thrashed Fulham 4-0 at Anfield, with the midfielder and the striker being replaced in the 67th and the 76th minute respectively.
The duo are now a doubt for England's friendly with Chile at Wembley on Friday as Gerrard is suffering with a hip problem, while Sturridge has a foot injury.
Liverpool manager Brendan Rodgers told reporters: "Steven was a wee bit stiff around his hip and he needs to be assessed.
"They are going to have a look at Daniel, too. He has some soreness and actually hurt his foot against Fulham. I just have to see how he is with the medical guys."
England host Germany next Tuesday in a friendly.