The Dane has largely underperformed in Ligue 1 since making the €20m (£18m) move from Ajax back in the summer of 2019, scoring 24 goals in 85 appearances across all competitions during his three-year stay so far.
The 24-year-old was often utilised in a two-man attack alongside Andy Delort for the Riviera club under Christophe Galtier last season.
However, Galtier's departure for Paris Saint-Germain has seen Lucien Favre return to the club as manager, and the 64-year-old is looking to implement a 4-3-3 setup at Nice during the new campaign according to Get French Football News.
Such a move is likely to see Dolberg pushed down the pecking order according to the report, and as a result, Nice will be willing to sanction a move for the Denmark international this summer.
The report suggests that the Bees have approached Nice over a potential deal ahead of the 2022-23 season, but that any move is unlikely to be completed soon due to Favre running the rule over his squad in pre-season.
Should Dolberg make the move to West London this summer, he would link up with fellow Dane Thomas Frank - the Brentford boss - as well as the likes of Christian Norgaard, Mathias Jensen, Mads Roerslev and Mads Bech Sorensen, in a strong Danish contingent within the Premier League side.