The 19-year-old is one of the brightest youngsters in the country and is expected to make the step up to the Premier League.
Having been named the Championship Young Player of the Year, Scott recently returned from the Under-20 World Cup with England.
talkSPORT understands Wolves are the latest club to run the rule over the highly-rated midfielder, with West Ham and Bournemouth also keen.
David Moyes is understood to be a huge admirer, and is known for plucking talent from the Championship.
The Hammers boss previously signed Jarrod Bowen from Hull City, who has go on to become a fully fledged England international.
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talkSPORT understands Liverpool sent scouts to watch Scott but their interest has since cooled.
Scott previously drew special praise from Manchester City's treble-winning boss Pep Guardiola.
Having impressed in the 3-0 defeat to the Sky Blues in the Carabao Cup earlier in the season, the Catalan boss labelled the midfielder an 'unbelievable talent'.
Robins boss Nigel Pearson is holding out for a fee of £25m for their youngster.
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"It's got to be more than £25million, he shouldn't go for less than that," Pearson previously told Bristol World.
"Since he made his debut for us he's played 80 odd games, so he's been a regular.
"People talk about second season-itis where players get a drop-off, I don't think we've seen that at all, I think we've seen him push on.
"He's managed to continue his development with a pretty steady upward curve over the two years he's been here now.
"That speaks volumes not just about his ability but his temperament too… He'll go on to really big things, I'm sure about that."
Pearson added: "I believe Alex will play for England one day.
"I thought that when I first saw him in a training session and nothing since has changed my mind.
"He is a level-headed lad, who won't be affected by reports in the press. He will play for a top club one day and it's just a question of when."