The 31-year-old striker moved to his boyhood club on a free transfer over the summer window which ended his 13 year spell at Old Trafford.
Mourinho played down his impact in landing the Belgium worldwide, who has already netted six goals this season, amid apparent interest from Chelsea.
I think this Premier League is much more defensive-minded, and much more hard.
Asked whether the pair would have a pre-match catch up before kick-off, the manager added: "I think, before, an obvious hug, we've been friends".
Since rejoining his former youth club, Rooney has featured in all of the Toffees' nine matches across all competitions so far where he managed to score two goals.
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"It is also clear that the Premier League has a much more defensive profile than it used to, and that also makes it more hard".
"That power is not just to buy but also to keep and say: "No, we don't sell". It is the most hard country in which to win the title". Romelu's team plays different football and the confidence levels are different and it is a team in the second year of its evolution in some aspects.
"I think the stadium will show him the respect that he deserves, I hope, before the match and after the match", said Jose.
United midfielder Marouane Fellaini clumsily gifted former club Everton the penalty that allowed them to snatch a 1-1 draw at Goodison Park last December - which led to some sections of the Old Trafford faithful jeering him in their next home match.
So life goes on, and that's the way I did it last season with Fellaini.