After appearing to soak up the pressure well in the second half, it took until added time before United claimed the win despite a valiant defensive effort from the hosts, and will point to chances in the first half as to where they can improve going forward.
The fact Bournemouth sit ahead of United in the table today, even after defeat on Saturday, is a gloriously remote possibility brought to life.
United face the Serie A champions on Wednesday and Mourinho can not be certain whether the Belgium striker will be ready to travel.
Former manager Ferguson was renowned for nurturing the club's young talent, and it was a former trainee in Marcus Rashford who scored the victor at the Vitality Stadium, having proven so central to this latest recovery. It was something in training.
"We will wait for Monday".
The Premier League match between Bournemouth and Manchester United will be broadcast on NBCSN. Jose Mourinho said at his pre-match news conference that the Frenchman is close to turning from "top talent" to "top player" and scoring in four straight league games are numbers that top players should be putting up.
We passed the ball well and there was really good intensity to our play.
"Normally the intention is to make attacking changes, but I felt the team needed a player like Herrera to give us that balance, win the ball faster and protect Ashley Young, so I was happy with that change and the team was much better and we created lots of chances".
According to the club's official website, Ander said: "It's like I was saying in some interview before". Man United need to be focused right from the off, without making themselves work twice as hard later on chasing the game.
"But one day hopefully we can go to the second half winning 3-0 and enjoy the game. That is a fantastic quality for a team".
Mourinho admitted his team were "lucky" to go in at half-time at 1-1 after Anthony Martial had cancelled out Callum Wilson's opener after what he described as some "absolutely awful" defending in the first half.
"It's a tough one for us", he said. I think [he] was the impact in the team.
Mourinho's second half changes shifted he course of the game as Ander Herrera made an impact from the bench and Rashford scored the victor after he replaced Juan Mata after 56 minutes.