The Daily Mirror reports (liveblog entry 14:31) Bryan is the next key player to leave Bristol City, with Middlesbrough, Leeds and Premier League sides Bournemouth and Burnley 'hot on his trail'.
The attack-minded left-back recently entered the final year of his contract at Ashton Gate, making it harder for the Robins to hold on to him.
And several City fans are resigned to losing Bryan, just weeks after Bobby Reid and Aden Flint (pictured, above) also upped sticks - the latter going on to join Boro.
This is what they're saying on Twitter...
Mad if he goes to anyone in the SBC.May as well stay here however, we all know that Ala Flint, money talks & IF he can double what City have offered Boro could be OK.Burn or Bmth are Prem so could be win/win for JB & Club #BristolCity— Ian Gay (@RealBristolBoy) 3 July 2018
Only SBC Clubs with parachute payments could afford the wages & fee #BristolCity— Ian Gay (@RealBristolBoy) 3 July 2018
Oh he's off, Aidan. Just a matter of when.After Reid & Flint I reckon circa £5-6m.Contract's an issue but no if it's Prem.I reckon Bmth would be the best fit— Ian Gay (@RealBristolBoy) 3 July 2018
Championship club really going to offer £10m for a LB? No way he's going to Leeds, Boro I'm highly doubtful too with Flint already joining them. I do think Joe will go this summer, but it'll be a Premier League side for sure. Brighton, Burnley, Fulham, Bournemouth all been linked— Tom (@TomHagueBCFC) 3 July 2018
Out of all of them, he will be the biggest loss— Tom Fielding (@tomfieldffs) 3 July 2018
Bournemouth by far his best shout. Top manager and only down the road from his birthplace— Arny Davidson (@ArniedBS3) 3 July 2018
Premier league only please if this happens. Still clinging to the hope that Joe might, might just sign a new contract— Tom Harries ✌️ (@tomharries) 3 July 2018
Bryan progressed through the ranks at Bristol City and has made 229 times for his hometown team, scoring 21 goals and setting up 29.
HITC Sport understands the 24-year-old was the subject of enquiries from both Middlesbrough and Leeds during last summer's transfer window.
Could Bryan leave Bristol City for Middlesbrough or Leeds?