Chelsea full-back Cesar Azpilicueta has been handed a new five-year deal by the Premier League leaders.
Scottish FA confirms it will apply to FIFA for an exception to help push through John Guidetti's loan move to Celtic.
Snodgrass has one year left on his current deal, and has told the club he will not be signing an extension as he wants to return to the Premier League.
A number of clubs have been chasing Snodgrass ever since their relegation from the top-flight with the likes of Sunderland, West Brom and Queens Park Rangers all credited with an interest in his services.
However, City have stolen a march on their rivals by agreeing a fee and testing him medically in an effort to lure him to the KC Stadium.
Snodgrass, who had already been given the green light to hold talks with Hull, could join the club in the week Jake Livermore arrived on a permanent club-record transfer, which could eventually be worth around £8m, from Tottenham.