The report has also credited Premier League duo Brighton and Hove Albion and Sheffield United with interest in the 23-year-old midfielder.
The Bristol Post, though, has claimed that City have no intention of selling the former Preston North End midfielder in the summer transfer window.
According to WhoScored, Brownhill made 45 appearances in the Championship for City this season, scoring five goals and providing four assists in the process.
During the 2017-18 campaign, the 23-year-old midfielder made 41 starts and four substitute appearances in the league for the Robins, scoring five goals and providing six assists in the process, according to WhoScored.
Have something to tell us about this article?