Bridge believes both strikers would add a clinical edge to the Blues which they have missed this season, despite them having secured a top four spot and winning the Champions League under Thomas Tuchel.
This comes following a mixed 2020/21 campaign by Timo Werner who was ridiculed by fans at points for his wayward finishing.
Werner scored six league goals while Kane and Haaland both reached over 20 for the season, showing a gulf in quality in front of goal.
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Speaking to BettingExpert.com, Bridge said: “It’s a bit of a no-brainer: an out-and-out goal scorer [is what Chelsea needs].
“I keep saying Timo’s [Werner] is going to become good and I predicted him to score a few goals at the Euros, but it’s just not clicked for him at the moment.
“He’s shown glimpses and done well in games but he’s not scoring goals.
“There’s been talk of Haaland and Kane. I’d love to see Kane at Chelsea but whether that’ll ever happen I’m not sure. For me it’s figuring out who we can get and who’s going to be an out-and-out goal scorer.”
Do you think Chelsea will splash out on Haaland or Kane this summer? Let us know in the comments section.
Bridge went on to praise former Chelsea striker Romelu Lukaku, though he doesn’t think there is enough incentive for the Belgian to return to Stamford Bridge.
He said: ““He’s obviously gone and scored lots of goals since leaving Stamford Bridge and proved a lot of his critics wrong
“It didn’t exactly go to plan for him at Chelsea, so it’s very different now he’s grown as a player.
“Would he want to come back at all? I’m sure he’s adored by the fans at Inter and his stock is so high – does he need that change?
“Whatever he decides, you have got to take your hat off to him, he’s gone there and been absolutely brilliant.”