The Blues have just 48 hours to prepare for the match following their 2-1 victory over Manchester City in the Premier League on Sunday, whereas the Gunners have an extra day after beating Crystal Palace 2-0 on Saturday lunchtime.
Mourinho has hinted that he will be forced into rotating his squad for the match due to its timing.
"We are going to give the game that the people that put the game on Tuesday want. If they want a big game, we cannot give the big game," Mourinho told reporters. "If they want the players that were playing [on Sunday], we cannot give them that. If they want Arsenal to win a trophy, that's a help.
"If they want a big game between two big teams in London, they should put the game on Wednesday and not on Tuesday, because I am not going to do that.
"We cannot put our players in two matches in the space of three days. Arsenal played Saturday at 12:30, so two and a half days to rest and to prepare. So I hope they all enjoy."
The two sides meet in the fourth round of the competition on Tuesday.