The Blues actively pursued a move for the England U21 international during the summer transfer window, but Bournemouth stood firm, with Marco Rose thanking the club owners for not selling his midfield star.
Bournemouth were also looking to secure a fee in the region of £100M, which was above Chelsea's budget, prior to selling Enzo Fernandez to Manchester City for £125M.
Despite missing out on a deal for him ahead of the new campaign, Chelsea are undeterred in their interest, and reports from TEAMtalk claim they will file a January offer, to get ahead of possible rivals next summer.
With a contract in place until 2028, Bournemouth remain in a strong negotiating position over Scott's possible exit, but Chelsea are unlikely to go above £75M.
Bournemouth may also prefer to wat until the end of 2026/27 with ex-Cherries boss Andoni Iraola also eyeing him for a move to Liverpool.