Bisoli began his professional career for Lega Pro Prima Divisione club Prato in 2012.
Following an impressive season with the Apulian club, he was signed on loan by Brescia, with an option to buy Subsequently signed permanently by the Rondinelle, Bisoli established himself as a starter, being a main part of the team's promotion to Serie A in 2018–2019.
On 25 August 2019, he made his Serie A debut during an away match at Cagliari; on 9 February 2020 he scored his first top flight goal, during a home league match against Udinese, which ended in a 1–1 draw.
Since the 2020–21 season, following the retirement of Daniele Gastaldello, Bisoli has been serving as team captain.
He is the son of Italian football manager and former player Pierpaolo Bisoli.