The Cowboys signed Conner to a reserve/future contract Wednesday, Michael Gehlken of The Dallas Morning News reports.
The Jaguars waived Conner on Tuesday, Mia O'Brien of 1010 XL 92.5 FM Jacksonville reports.
Conner closed the 2022 campaign with 12 carries for 42 yards and one touchdown in eight games.
Conner had five carries for 17 yards and a touchdown during Sunday's 31-3 win over the Texans.
Conner carried once for three yards during Sunday's 40-34 overtime win against the Cowboys.
Conner rushed once for six yards during Sunday's 40-14 loss at Detroit.