Noble could return for the key games on Boxing day against Chelsea at Stamford Bridge before they welcome Arsenal to the Boleyn Ground two days later.
Other than that, the Hammers have a clean bill of health going into the festive period as they look to hold onto their place in the Premier League's top four, and the Hammers boss is relishing the Christmas period, which begins by hosting the Premier League's bottom club.
Allardyce told reporters: "We've achieved great things in our first 16 games and are looking forward to the Christmas games, even if it is a strenuous period.
"There will be fatigue, there will be injuries so we will have to rotate the team. It's just play, recover, play, recover.
"Leicester we're looking forward to, then two London derbies, but Leicester for me is the most important game of the season.
"I watched the Man City game last week and Nigel Pearson's team has many dangers which we have to be aware of."