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Jose Mourinho is desperate to add a striker to his squad
The Premier League side are in the hunt for a new striker and see the ex-Liverpool man as a suitable option, but believe it will be tough to convince Saints to let him go.
The Premier League club are hoping to strike a £19 million ($24m) deal for Traore, who is keen to link up with Villa's assistant manager John Terry.
After seeing his side lose 1-0 to Marseille on Sunday, he admitted he's keen to strengthen the squad.
"I really hope for more signings. It's no secret, we lost five players including Eric Maxim Choupo-Moting," Tuchel told Telefoot.
"It's going to be complicated, we play a lot of matches."
Frank Lampard has hit back at Jurgen Klopp's"we can't behave like Chelsea"commentsafter pointing to the fact thatLiverpoolhave spent big in recent years on the likes of Virgil van Dijk, Alisson, Fabinho and Naby Keita.
Liverpool won the Premier League last year finishing 33 points above fourth-placeChelsea, who were just happy to qualify for theChampions Leaguein a transitional season inwhich they were hit with a transfer embargo.
After two transfer windows without making a senior signing, the Blues have spent around £200 million ($252m) this window after completing deals for the likes of Kai Havertz fromBayer Leverkusen, Timo Werner fromRB Leipzigand Ben Chilwell fromLeicester City, while they continue to targetRennes goalkeeper Edouard Mendy.
Vazquez is considering the move with Real open to selling him for the right price as his current contract is set to expire at season's end.