The 29-year-old has again been a key player for the Seagulls during the 2020-21 campaign, scoring four times in 26 Premier League appearances, and he signed a new five-year deal with the club last August.
The report claims that the North London club want to sign 'a new central defensive leader' and would prefer to bring in a player with Premier League experience.
Dunk has been in the Brighton first team since 2010, making 336 appearances for the club in all competitions, including 136 outings in the top tier of English football.
Davinson Sanchez could potentially be on his way out of the club this summer, with a recent report claiming that Mourinho is of the opinion that the Colombia international 'cannot be trusted' in the big matches. body check tags ::