The Blues confirmed the signing of defender Marc Cucurella from Brighton on Friday in a deal worth £63m.
It has been a busy summer for Thomas Tuchel’s side, who have brought in Raheem Sterling from Manchester City and Napoli centre-back Kalidou Koulibaly.
Chelsea have also signed highly-rated youngster Carney Chukwuemeka from Aston Villa for around £20m.
Antonio Rudiger and Andreas Christensen have left the club while Romelu Lukaku has been sent to Inter Milan on a season loan as Tuchel shakes up his squad ahead of the new season, looking to improve on third place last time out.
The west London side are under fresh ownership, with Todd Boehly taking over from Roman Abramovich as a new era at Stamford Bridge begins.
Legendary striker Shearer feels that Chelsea could challenge the likes of City and Liverpool for the Premier League title in 2022-23 if they bring in more new faces.
‘Chelsea just don’t carry the same attacking threat,’ Shearer told the BBC. ‘They were really disappointing in the league last year, as was their £97m striker Romelu Lukaku.
‘Lukaku has left on loan now and, although Raheem Sterling is a good buy and Carney Chukwuemeka is an exciting prospect, I still think they are three or four signings away from challenging for the title again.
‘Without a doubt, centre-forward is one of the positions where they are short, with three weeks to go before the window closes.’
Chelsea won the Champions League under Tuchel in 2020-21 and last won the Premier League in 2016-17.
Their season gets started on Saturday when they travel to face Frank Lampard’s Everton.
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