The Rams just missed out on promotion to the Premier League after losing out to Queens Park Rangers in the play-off final. They will be hoping to go one better this year, and to do that they will need to keep their better players at the club. Bryson certainly falls into that category but he has attracted interest from elsewhere.
One team who didn't miss out on promotion to the top flight was Burnley and they have identified Bryson as someone who can help them fight off relegation. The Clarets have had a bid rejected by Derby for the 27-year-old and it remains to be seen whether they will return with an improved offer. Their initial bid is thought to be around £750,000.
Derby revealed the news on Wednesday and stated that the bid was 'immediately turned down'. Bryson joined The Rams from Kilmarnock in 2011 and his current contract runs until 2016, however the club are hoping to open talks with the Scotsman about extending that contract.
Burnley are still yet to sign anyone as they set about preparing for just their second season in the Premier League. So far they have seen bids rejected for Bryson and Craig Dawson and fans will be hoping to see some new arrivals in the coming weeks. Clubs return to pre-season training over the next two weeks and transfers may begin to happen soon after.