The 19-year-old winger has become an increasingly effective player for both club and country over the past year.
Souness believes that while Sterling is a talented player, there is too much responsibility being placed on his shoulders.
"It is true (Liverpool) are placing a lot of responsibility on him but the same can be said of England," the former Liverpool midfielder told the London Evening Standard.
"If they are relying on a 19-year-old kid then I think it does not reflect well on England's group.
"The same can be said for Liverpool: if you are relying on a 19-year-old to deliver in big games for you it is not how it should be."
Sterling has netted three goals in 13 games for Liverpool so far this season.