Additionally, Chicago reinstated righty reliever Ryan Burr from the injured list and purchased the contract of outfielder Charlie Tilson from Triple-A Charlotte. Those two take over the roster of of lefty reliever Caleb Frare and outfielder Adam Engel, who were each demoted to Triple-A on Sunday.
Jones has been diagnosed with a flexor pronator strain in his right forearm after he was placed on the injured list on April 28. He had posted a 3.48 ERA in 13 appearances this season.
Burr, 24, had been on the injured list with A/C joint inflammation in his right shoulder. He has a 5.68 ERA in 10 relief appearances in 2019.
Tilson, 26, was hitting .333 with a homer, 19 RBIs, three steals and a .396 on-base percentage in 25 games at Triple-A. He hit .264 in 41 games for the White Sox in 2018.