The Blues face a crucial final Premier League game against Bolton at Stamford Bridge, while leaders Manchester United travel to Wigan.
Midfielder Mikel refuses to accept that the title is destined to remain at Old Trafford for the second successive season.
And he has given his backing to boss Grant, who has struggled to win over supporters since taking over from Jose Mourinho last September.
The Nigerian said: "He's a nice man, the perfect guy, I like him.
"We have a pretty good chance in the Premier League, and in the Champions League as well.
"In the last game United may drop two points and if we win against Bolton we win the title."
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