Bournemouth are yet to receive any bids for Benik Afobe and Sky Sports News understands they have no interest in selling.
The news follows reports linking the 24-year-old forward with a move to Watford.
The Hornets are reportedly open to offers for their striker Troy Deeney, and view Afobe as a possible replacement.
However, Bournemouth do not want to part with Afobe, who they signed from Wolves in January 2016.
Afobe came through the academy at Arsenal and spent time on loan with a series of clubs before he was signed by Wolves.
He has made 20 appearances this season, with just the one goal to his name so far.