The midfielder was left out of Sunday's game against West Brom in which the Reds lost to a Peter Odemwingie goal, after problems with a hamstring gave his manager cause for concern.
However, he has been training all week ahead of the trip to Norwich without any recurrence of any injury and has been past fit by his boss.
"He's fine, no problem," was the Scot's assessment on Gerrard.
"We said it was just a precaution so he's back training. He's been training all week, so there's no other problems."
Gerrard is no stranger to FA Cup glory, scoring an equaliser in time added on in the 2006 FA Cup final against West Ham before they eventually won the cup on penalties.