The Reds were disappointing in their 2-1 loss to West Bromwich Albion on Saturday and the Holland international hopes he and the rest of the players can bounce back when City comes to town.
"For us it's a must-win game," Kuyt said.
"We have to move on from West Brom and there's another big game coming up. We have to make sure the three points stay at Anfield.
"Every game between now and the end of the season is a must-win for us and that's what we must try to do.
"We have to make sure we keep going and hopefully we can start a run by Monday.
"I think since the arrival of Kenny Dalglish we've had a pretty good run, but also some very disappointing results against West Brom and West Ham."