Saturday's clash at Stamford Bridge sees the Premier League's longest-serving manager reach the landmark in the top-of-the-table clash as the two title contenders face off.
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"The tribute is to say I believe that any one of us, we would love to have the same privilege with our clubs," he told reporters.
"I admire him and I admire Arsenal. I's not possible to have 1000 matches unless the club is also a fantastic club who support their managers especially through the bad moments and especially when the bad moments were quite a lot.
"So I admire the manager and I admire the club."
Mourinho returned to Chelsea for a second spell last summer, with Saturday's clash marking his 231st in charge of the Blues, and he says reaching just half of Wenger's landmark would be impressive.
He added: "I would like to. But it's very, very difficult. It was always difficult but in modern football it's even more difficult. But if I can relate my first three-and-a-half years with Chelsea, and this one, I have a few.
"If I can reach I would say 500, it would be fantastic."