The 26-year old, who signed to Norwich from Leeds in 2012, is keen on a move away from the Canaries following their relegation to the Championship, and the Hull Daily Mail is reporting that a deal could be completed shortly to finalise a transfer to the KC Stadium.
The Scottish international, capped 15 times by his country, was rumoured to be wanted by a host of Premier League clubs, with QPR, Aston Villa and West Ham interested in acquiring his services, although, despite only having one year remaining on his contract, Norwich were adamant with retaining their £6 million valuation of the player.
However, the proposed deal is believed to be for a fee of around £4 million - remarkably lower than the Canaries valuation of their fans favourite. It would represent a small investment on the player, who, since joining for £3 million in 2012, has gone on to make 74 appearances and score 14 goals for the Canaries.
With the player unwilling to remain in the second tier, he could be pushing for a move back to the Premier League, reducing his fee in the process. Despite losing out on a potential extra £2 million, receiving the fee this early in the summer will allow Norwich to start their rebuilding process early, as they prepare for a new season in the Championship.
Snodgrass is just one of a list of players rumoured to be leaving Carrow Road this summer following their relegation from the Premier League. Netherlands international Leroy Fer tops the list, with Ricky van Wolfswinkel, Wes Hoolahan and Nathan Redmond also wanted by a host of clubs.