The Terriers made an informal approach, but the player ruled out a move to Yorkshire.
Cherries chairman Peter Phillips told the Bournemouth Evening Echo: "There was no bid accepted for James. I can confirm that we received an informal approach from Huddersfield.
"We didn't receive a bid, so were not able to accept or reject it. I spoke to James about it and he indicated that he wasn't interested in a move to that particular club."
Southampton, QPR, Barnsley and Bristol City have all been linked with the player, who has scored 13 times this season.