But additionally there is an expectation that Lukaku will need his fellow attackers to support him, with only three other players hitting double-figure goals last season.
"He is injured, he needs time to recover, and is not ready to play tomorrow".
He added: "Because Manchester United is a real giant, it doesn't matter if the club is somewhat far away from that level for three, four, five or 10 years". [We have] one more reason to be happy because, in this pre-season, we didn't lose any player.
This season, however, each of the Premier League's top seven will play in Europe, which Mourinho believes is a leveller. I think we have addressed the defensive issues that we had last season and the players Guardiola has brought in are strong and fast.
"I have a feeling that we will score early and get a good win against Brighton on Saturday. I think it is the objective of every one of the top teams and every one of the top team managers", Mourinho said. Normally the second season should be better than the first because you know the club, you know the players.
"I go with the same prediction as past year because I don't think Pep will accept having another season like that, he is not used to that".
But during Jose Mourinho's coaching career it has been a cast-iron recipe for success, having won a league title during his sophomore campaign at each club.
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Crucially says Miguel Delaney of The Independent, United know what it is to win trophies and Mourinho "will hope it gives them a new assertiveness, because that is what an occasionally meek team arguably lacked above anything last season".
The Red Devils boss has enjoyed success nearly without interruption across a 17-year managerial career, winning eight domestic titles, two Champions Leagues and two Europa Leagues.
"I saw last season how tough the league is - it doesn't matter who the top teams are".
Mourinho is quoted by the Daily Star as having said that despite being a "giant" club, United can not depend on it's reputation alone to compete for major titles.
"But we are involved in four competitions and step by step, match after match we are going to fight".
Chelsea have been active in the transfer market, signing striker Alvaro Morata from Real Madrid, plus defender Antonio Rudiger, goalkeeper Willy Caballero and Tiemoue Bakayoko, the midfielder bought from Monaco before Nemanja Matic was sold to rivals Manchester United.
Yet, a team featuring Sergio Aguero and Gabriel Jesus up front and a sprinkle of attacking midfielders like Kevin De Bruyne, David Silva, new signing Bernardo Silva, Leroy Sane and Raheem Sterling promises lots of goals this season.