Winn, who ran for 1,334 yards and 13 touchdowns for the University of Cincinnati last year, has been with four teams since signing with the Houston Texans as an undrafted free agent. He was most recently on the Pittsburgh Steelers practice squad before he was cut Nov. 19.
Konz, who has experience playing defensive end as well, was cut by the Seattle Seahawks in camp. He was a seventh round pick of the Seahawks in 2011 after playing linebacker and tight end at Kent State. With Andre Smith claimed by the Cleveland Browns, the Cowboys wanted to add a fourth tight end for practice purposes.
The Cowboys had the vacancies with the departure of Alex Tanney to the Browns’ active roster and the release of linebacker Taylor Reed.