This summer Chelsea have brought in 22 year-old midfielder Tiemoue Bakayoko from Monaco for £40m.
Alongside Lukaku, Victor Lindelof and Nemanja Matic made competitive debuts for United.
"Matic, in particular, was an odd sale for me and really surprising that they sold him to a close rival".
The former Red Devils midfielder told Paddy Power: "Some people have said that they can't believe Chelsea let Matic go to United, and that they've handed them the title, but I don't see that".
'This doesn't seem quite the same, but at the same time we don't know whether Matic wanted to leave. Did he want a new challenge at 29?
Frank Lampard is now a BT Sport pundit. "It is just how he uses that talent in the team".
Asked if Chelsea need more signings in order to successfully defend their Premier League title, Conte replied: "Yes, for sure".
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"He is a player with great experience, many years at the highest level and good experience, good stability".
"That's the pressure he probably hasn't had".
"Matic has intelligence and experience of the Premier League". He won't have had anything like it in Italy or Spain. "He's working very well and starting to understand or idea of football".
"Tiemoue Bakayoko was very impressive a year ago, he's very physical".
Costa's rollercoaster Chelsea career is ending in acrimonious fashion, but Lampard thinks now is the right time for player and club to part ways.
That's according to new signing Nemanja Matic at the very least, who was ready to defend his former and current teammate Romelu Lukaku, and offer his backing in light of Lukaku's awful miss - and predict he will score many goals for the Red Devils. "I think we just have to accept it and move on". "They've had an outflux, a lot of players have gone but majority were squad players and young players who probably won't affect the first XI that much". As a Chelsea fan you're always going to want more: 'Can we buy the best players?
But Mourinho was nevertheless impressed with his former Chelsea charge: "I think he played really well, I think in the moment they were moving the ball well of course was hard for us in the midfield. You saw that in the UEFA Super Cup game - he'll fit very well in there", Lampard said. You have to have faith in the manager.