Jackson, 24, is a former fifth-round pick of the Cowboys back in 2019. He was waived coming out of training camp last year and later claimed by the Browns.
Jackson was in the third year of his four-year, $2.8 million contract when the Browns waived him last month. Cleveland brought him back not long after.
In 2021, Jackson has appeared in 10 games and recorded 10 tackles and one sack.