I certainly hope so.
He’s doing alright despite the mediocre at times shown by his team especially in busy period of December, therefore I fail to see why they will not.
We were 6th in the league around same time last season now we’re 2nd and currently still in 3 competitions. So I wasn’t surprised when I hear the club reportedly have been in detailed discussions with Mourinho and his representatives for the past month over an extension to his contract.
Give him some more time and the players he wants. Manchester United can surely have those luxuries.