With a year remaining on his contract, Brighton do not want to stand in the striker's way as long as they get a fair price for his sale.
Welbeck has continued to be a reliable goalscorer in the Premier League at 35 years old. Last season he scored 13 times, after scoring 10 in the previous campaign.
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His potential arrival would be another example of Chelsea prioritising physically imposing players with Premier League experience this summer.
It would also place further doubt on the futures of strikers Nicolas Jackson, Liam Delap and Marc Guiu.
Chelsea have signed several players from Brighton in recent seasons including their main striker Joao Pedro, Moises Caicedo, Marc Cucurella and Robert Sanchez.
A number of Brighton staff members have also moved to Stamford Bridge over the past four years.
More to follow.
