The England captain missed the club’s successful, if problematic, final group stage trip in the Europa League because of a slight illness.
But the rest will have re-energised him for the challenge of proving his value to the Reds’ cause in the absence of the injured Luis Suarez.
Reds boss Brendan Rodgers said: “Steven will be fine. He was ill for a couple of days, but he has been back in training and there will be no problem.
“We are without Luis, but I think we’ve seen that there are enough players in the group who can score and that’s something we will look forward to at West Ham.”