According to the Mirror, Mourinho hopes Arsenal falter in their quest of securing a last 16 spot in the Champions League by losing to Olympiacos in their final group fixture on December 9.
The Portuguese, though, gave a legitimate reason why he would like to see the Gunners fall at the final hurdle.
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He said: "I would always like English teams to qualify, first. Arsenal are in a group where a kid friend of mine is the manager of Olympiacos and it would be fantastic for the kid’s career to go through.
"So I have to be honest and say that I would like the kid and Olympiacos to go on, and we know that Bayern go through for sure.”
Olympiacos manager Marco Silva got the better of Wenger at the Emirates Stadium in September and will be hoping for much of the same come the return fixture.
Arsenal are currently third in Group F and would only qualify if they beat the Greek side by two clear goals.
History is not on their side, though. The Gunners have never managed to win in any of their previous three visits to Karaiskakis Stadium.
Chelsea, on the other hand, have their own problems in Europe. Despite a convincing win against Maccabi Tel-Aviv last week, they're yet to secure their own safety following Dynamo Kyiv's defeat of FC Porto.
Their next match will be against the Primeira Liga club and winning at home would guarantee top spot in Group G.
Despite his favoured outcome, Mourinho is well aware of what Wenger's side are capable of achieving.
The 52-year old continued: "The reality is that Arsenal can still do it. Arsenal can perfectly go to Athens and win.
"Even doing a bad group phase - because to lose at home to Olympiakos and to lose in Zagreb and to lose six points they should win is bad - they can qualify.
"It’s not my problem, it’s their problem, but the reality is first of all they can qualify and secondly if they go into the Europa League then they become favourites [to win it].”