Chelsea prised Danny Drinkwater away from the King Power Stadium on transfer deadline day, leaving them without a central midfield replacement after Adrien Silva's move failed to be ratified.
And though Silva can finally be registered as soon as the winter window opens, Leicester are said to be eyeing another option in the former Sporting Lisbon player's position.
Scott has 18 months left on his contract at Stamford Bridge, but is said to be seeking regular first-team football, with finances 'not the issue'.
The Bath-born former USA youth international has appeared on Chelsea's bench five times this season, but is still awaiting his debut for the Blues.
He currently has Cesc Fabregas, N'Golo Kante, Tiemoue Bakayoko, Ethan Ampadu and Drinkwater ahead of him in west London.
Would Scott be a good signing for Leicester City?
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