Chelsea boss Maurizio Sarri is eager to secure an alternative to battering ram Olivier Giroud and the misfiring Alvaro Morata.
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And he has set his sights on Wilson, who will be out to impress once again when he returns from a hamstring injury on Saturday.
Wilson has scored eight goals and provided five assists in 15 Premier League appearances ahead of Bournemouth’s trip to Wolves.
And Sarri wants the 26-year-old to bolster his attacking department as Chelsea seek to make good on their early season form.
Express Sport understands fourth-place Chelsea are confident of completing a deal to get Wilson on board in January.
And they are happy to hand over £30m for the England international, who scored against the USA on his senior Three Lions debut in November.
Wilson has bagged 52 goals in all competitions since joining Bournemouth from Coventry in July 2014.
Cherries boss Eddie Howe, though, says he is determined to keep hold of the striker amid speculation over his future.
“Callum is focusing on his football and we are not anticipating losing any players in January we don’t want to,” Howe said.
“He seems very happy, he has a spring in his step, he is buzzing around the training ground and there is a very good feel about him.”
Chelsea’s willingness to stump up £30m to prise Wilson away from Bournemouth reflects his rise in stature.
And Howe says the £3m Bournemouth originally paid Coventry for him reflects great business given his exploits at the Vitality Stadium.
“The fee at the time was discussed as a lot of money but when you compare it to fees now it looks a snip, doesn’t it?” Howe added.
Prior to making his England debut, former Chelsea defender Jason Cundy backed his old side to make a move for Wilson.
“It’s still early days but he’s starting to reach the same sort of levels even if it’s only ten games where he is now starting to score the sort of goals that will start to catch the eye,” Cundy said.
“He’s going to catch the eye. He’s got an eye for goal, I love his industry and he works incredibly hard.
“Let’s not forget he’s had two bad injuries and he’s had the mental strength to come back from those devastating knee injuries.
“A potential international in the future? I don’t doubt that for a second.
“If he carries on the way he is I think [Gareth] Southgate would be mad to ignore him, mad.
“So the question is who will look to sign him in January before his stock rises to a ridiculous level?
“I’m looking at my club, Chelsea. We’ve got two No 9’s in Alvaro Morata and Olivier Giroud. Neither of them are holding down a regular spot.
“And I think with the way Chelsea are playing under Maurizio Sarri, Callum Wilson would be perfect for Chelsea, perfect.
“If you think about Tottenham, what are they looking for? A back-up to Harry Kane.
“They haven’t really got one apart from [Fernando Llorente.
“Then you think about Manchester United. Wilson is 26-years-old and is coming into the best days of his career. Could United sign him as back-up to [Romelu] Lukaku?
“I think there are a number of big clubs who should be looking at Wilson.”