Chelsea edged passed a spirited Crystal Palace side on Saturday, as goals from Fernando Torres and Ramires ensured a 2-1 win.
Mourinho's men dominated proceedings in the first half and eventually took advantage when Willian's long-range effort was pushed onto the post by Julian Speroni.
Spaniard Fernando Torres was on hand to tap in his second league goal of the season.
Chelsea's recent defensive mishaps were to blame once again, as a cross from the far side was not dealt with, allowing Marouane Chamakh to equalise for the visitors.
Chances were certainly not at a premium but it seemed inevitable when Eden Hazard fed Ramires on the outside of the area, unleashing a curling effort to send Chelsea 2-1 up.
Palace came out fighting in the second half, with Damien Delaney, Cameron Jerome and Stuart O'Keefe all having chances, the latter forcing a superb save from Chelsea keeper Petr Cech.
Ramires had time to kill the game off for Chelsea from close range but the Brazilian fluffed his lines, much to the relief of Crystal Palace.
Drawing towards the end of the encounter Julian Speroni was on hand again to deny substitutes Andre Schurrle and Demba Ba successively.
After the game, Mourinho applauded the support from the away end, with the Crystal Palace faithful being a true example of fantastic support in England.
The victory sees Chelsea, temporarily at least, secure second place, two points behind Premier League leaders Arsenal after they dropped points against Manchester City earlier in the day.
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