The 29-year-old Willian has scored four goals and provided seven assists in 26 league appearances for Chelsea this campaign and Antonio Conte's team sit three points behind second-placed Manchester United in fourth position.
"He (Mourinho) is my friend. I had a great time with him, but I am at Chelsea and he is now at Manchester United," Willian told British media.
"They are difficult games. It is totally different to play in the Premier League to the Champions League. I think we can stay at this level and we can go to Old Trafford on Sunday and play another great game."
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Chelsea drew 1-1 with Barcelona in the first leg of their Champions League last-16 tie on Tuesday and Willian believes his team mates must emulate their performance if they are to beat United and leaders Manchester City.
"We have to play in a similar way. Against Manchester United, I think we can do a great job," Willian added.
"Against Manchester City, it will be like the game against Barcelona - they like to have the ball. We have to stay compact and use the same plan as we used against Barcelona."
With City holding a seemingly insurmountable 16-point lead atop the standings, United, Chelsea, Liverpool, Tottenham Hotspur and Arsenal are battling to secure a top-four finish with 11 games remaining.
Following the trip to Old Trafford, Chelsea face City and Crystal Palace before the return leg against Barcelona on March 14.
(Reporting by Aditi Prakash in Bengaluru, editing by Ed Osmond)
