The Blues boss has a remarkable record in the English top flight during December, but Potters midfielder Charlie Adam is optimistic they can get something from the game.
In addition to his remarkable festive record, which features 15 victories from 19 matches, the Portuguese will be boosted by the fact that the Blues have won eight of the 10 Premier League clashes between the sides, with the other two ending all square.
Stoke have not picked up a win against Chelsea since a League Cup clash in 1995 and are without a triumph in the league since 1975.
The Potters, who have recorded just one win in their last 11 league fixtures, will also be keen to erase memories of the last time that they came up against the Londoners, when Jonathan Walters scored two own goals and missed a penalty in a 4-0 home defeat.
Walters will have had plenty of time to mull over that performance heading into Saturday's clash, having been an unused substitute for Wednesday's goalless draw with Cardiff City, ending a run of 102 consecutive league starts.
The Republic of Ireland international remains a doubt for the visit of Chelsea due to a thigh problem, while Robert Huth (knee) is set to miss out once again.
Mourinho, meanwhile, has question marks over the fitness of Samuel Eto'o (hamstring), David Luiz (knee) and Oscar (ankle), who all missed his side's 4-3 victory at Sunderland.
Despite history weighing heavily against the hosts, Charlie Adam is optimistic that Stoke can take something from the encounter.
"We have a tough game," the midfielder told his club's official website. "But they will be coming here knowing that they have a tough afternoon too.
"They are one of the top teams in the league. We want to win the game, though, and we will create chances. If we can take one or two of them [and] have that bit of luck then it is a game that we can get something from, for sure."