The Hammers slipped to a 1-0 defeat against fellow promoted side Reading on Saturday and have now won just one of their last eight Premier League fixtures.
Norwich, who had previously been on a 10-match unbeaten run, have lost their last three and Allardyce is hoping his players can end the congested festive period on a high.
"We need to bounce back," he said.
"We've got to make sure we become better at creating and taking our chances, otherwise it's going to be tough.
"The balls into the box haven't been given enough quality to open up a defence as everybody starts tightening up at this stage of the season."