Mourinho clinched his first piece of major silverware since winning La Liga with Real Madrid in 2012 courtesy of a 2-0 success over Tottenham at Wembley on Sunday.
Manchester City's 2-1 defeat at Liverpool earlier in the day left Chelsea's five-point advantage at the top of the table intact.
"It's in the hands of everyone," the Portuguese said. "We have lots of difficult matches to play. City have difficult matches.
"[Manchester United] are in the title race too. Liverpool [beating City], I predicted that."
"I knew that was an impossible mission, but I didn't want the television on in the hotel or on the bus," he added.
"I told them I didn't want any kind of manifestation or disappointment if City scored in the last minute, or Liverpool won. I wanted complete silence.
"We were successful on that. But one member of my staff jumped up in the bus. Silvino [Louro, assistant first-team coach]. I wanted to kill the guy. He broke the rule."
West Ham, meanwhile, have not won any of their last six games in all competitions and were beaten 3-1 at home by Crystal Palace on Saturday.
Goalkeeper Adrian has previous experience of frustrating the Chelsea boss - helping former club Real Betis to a 1-0 win over Mourinho's Real in 2012, before putting in another superb display in a goalless draw at Stamford Bridge last season.
"I don’t know if Mourinho remembers me but when I play against him I have got some good results," the Spaniard told West Ham's official website.
"Personally, I feel good when I play against Mourinho!"
For West Ham, Morgan Amalfitano is still suspended after his dismissal against West Brom in the FA Cup, and Carlton Cole's hamstring injury means he remains a fitness concern for manager Sam Allardyce.
