"I like my team to play with a lot of energy and speed with and without the ball".
Midfielder N'Golo Kante - recovering from a knee injury sustained at the end of last season - had been pencilled in to feature in one of Chelsea's games in Japan, Lampard added.
He also hinted how he wants his team to play ahead of next season.
"It is important we move forward on that and I know as a club we are doing our best to from top to bottom".
The Blues have been banned from registering new players for two consecutive transfer windows after Federation Internationale de Football Association found them guilty of breaching regulations relating to the signing of under-18s.
He believes Odoi will be an important player for both Chelsea and England in the future. They now have to make the difference.
"And we now have a big batch of them that are fighting to get into the first team".
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The Blues boss told reporters: "There are a few younger players and some have signed, and some will sign in the next month or so or in the early part of the season".
The teenager has been omitted from the Blues' pre-season tour of Japan, and a battle for his services next season is now set to take place.
Rather than hundreds of fans outside Chelsea's hotel, a more modest 20 to 30 braved the rain, with one supporter making no secret of their admiration for David Luiz - donning not just the named shirt, but the hair (or wig) as well.
Frank Lampard believes Chelsea does not need to sign new players this summer for the team to challenge for the big titles next season.
In between that, they'll play a couple of football matches.
With Pulisic arriving and some of the club's young players signing long term deals at the club, Lampard believes the team is well equipped to compete on all levels next season. The first of which is against J-League champions Kawasaki Frontale in Yokohama on Friday, followed by a game against Barcelona in Saitama on July 23.
Lampard said it was a "blessing in disguise" that the club would not be involved in the transfer window and that he was excited by the young talent at his disposal.