The forward is expected to sit out the fixture at the London Stadium and Saturday's home game against Southampton due to a muscle injury.
However, Jürgen Klopp revealed the issue Mane sustained during last week’s victory at Wolverhampton Wanderers isn't one that will sideline him for an extended period of time.
“Sadio will not be involved for West Ham and probably not for Southampton," the boss said. "After that he should be then fine.
“The week we have then after that is for him perfect to get back on track.
“He has a small muscle tear, which is serious enough to keep him out.