Calvin Watkins adds that the Cowboys have also cut DL Garrett Marino with a non-football illness designation.
Chunn has reportedly been dealing with a minor knee injury.
Chunn, 25, wound up going undrafted out of Troy in 2017. He later signed a three-year, $1.71 million contract with the Cowboys but was waived coming out of the preseason.
Dallas re-signed Chunn to their practice squad and has been on and off of the Cowboys’ practice squad. Chunn returned to Dallas on a futures contract last December.
During his college career at Troy, Cunn rushed for 3,124 yards on 679 carries (4.6 YPC) to go along with 84 receptions for 558 yards receiving and 47 total touchdowns over the course of 49 games.