The Patriots are cutting Kessler, according to multiple reports.
He signed with the team on Sept. 25.
Kessler, 26, entered the league as a third-round choice of the Browns in 2016. He went 0-8 his rookie season.
Kessler started four games for the Jaguars last season, going 2-2.
For his career, he has completed 64.2 percent of his passes for 2,215 yards with eight touchdowns and five interceptions.