The Robins are thought to be open to offloading a striker before the transfer window closes to free up space for a possible addition, and it seems the 29-year-old could be the man to make way.
According to the Bristol Post, the Addicks are keen on signing Taylor and have been interested in him for some time.
Charlton may feel they have an advantage as the South London club are believed to have maintained a strong relationship with City after coming close to signing Mo Eisa on loan in January.
Taylor joined the Robins in a controversial switch from rivals Bristol Rovers in January 2017, with the Championship side triggering his £300,000 release clause.
The forward has made 74 appearances for the club since, scoring eight goals and providing 13 assists
He will likely go down in Robins’ folklore for the part he played in Korey Smith’s winner against Manchester United in the 2017/18 Carabao Cup quarter-final.
Taylor’s high work rate and involvement in ‘that goal’ have made him somewhat of a fan favourite at Ashton Gate but I don’t think supporters will be too upset with his exit if it means a new striker arrives.
This would be a good addition for Lee Bowyer and would provide him with a different option to the weapons he currently has at his disposal.
Taylor is a busy and wily forward who can be a nightmare for opposition defences and is less of an out-and-out goalscorer than the Addicks’ other additions in that department, Chuks Aneke and Macauley Bonne.
Charlton look well set to land him. They seem to have a good relationship with City and the move would mean that Taylor could stay in the Championship, rather than dropping down a league.