The Portuguese will do battle with the Frenchman for what could potentially be the final time on Sunday, with Wenger leaving the Emirates at the end of this season.
Wenger has spent 22 years with the Gunners, but Mourinho admitted that it’s nearly impossible to survive at a club that long in this era, although he is hoping to last at United longer than at other previous sides he’s managed.
‘You would not allow it, media, social media, the pundit industry, I think it is too much pressure, not just for the manager but also for the club,’ he said.
‘I don’t know how long I will be at United but I don’t want to be anywhere else.
‘To be honest, at all my other clubs I had the feeling of already thinking about what to do next. I had things to do. I had to go to Italy, for sure. I had to go to Spain, for sure.
‘They were things I really wanted to do but at the moment there isn’t anything I have waiting around the corner.
‘I don’t want to do anything different from what I am doing now.’
Although Wenger is leaving Arsenal at the end of the season, Mourinho isn’t convinced that this is the end of the former Monaco boss’ coaching career.
‘I don’t think Arsène is going to end his coaching career,’ Mourinho added. ‘As far as I know he is only finishing at Arsenal.
‘I am sure Manchester United fans will remember all the years when Arsenal were their biggest rivals, and I am going to remember Arsène as a big opponent, the manager of the Invincibles.
‘That was my first year in this country. When I arrived in 2004 Arsenal had just won the title without being beaten. I would say the Invincibles made me a better coach and that is the way I will remember Arsène, although I should say he is not yet dead. I doubt if he is finished with football.’
Although he may not remain at Old Trafford for the same amount of time that Wenger has spent at Arsenal, Mourinho admitted he thought he could keep managing into his 70s similarly to Bayern Munich coach Jupp Heynckes.
He continued: ‘For sure, why not? This is a job where the more experience you have the better you are, you just have to keep up your motivational level.
‘I believe that until a manager decides he has had enough and doesn’t want any more you can still get better and better. Just look at the example of Mr Heynckes.
‘He was retired, playing with his grandchildren or things like that, and suddenly he comes back to football and he is even better than what he was before. I think you can keep improving in this job, as long as you have some success.
‘Sometimes people say enough is enough, but until that point arrives I think this is the kind of job where experience makes you better.’