Schultz is the latest in a line of tight ends to enter the National Football League out of the University of Stanford. Dallas selected former Kansas defensive end Dorance Armstrong with the 116th pick.
The Cowboys took Dalton Schultz of Stanford with the 137th overall pick in the fourth round of the National Football League draft Saturday.
"We came up with (Gallup) that really could make a difference for us", Jones said. "I do think we wanted to do things that, as Jerry has said, that's Dak-friendly".
In two seasons, Gallup racked up 176 catches, 2,690 yards, and 21 touchdowns. He joins a crowded tight end room in Dallas that still includes Witten, Geoff Swaim, Blake Jarwin and Rico Gathers.
Bryant was released as a cost-cutting move this month after three subpar seasons since signing a $70 million, five-year contract following his All-Pro season at receiver in 2014.
Vander Esch, a linebacker from Boise State, recorded a team-high 141 tackles his junior year, including 8.5 tackles for loss and four sacks.
Dallas had a need at receiver coming into the offseason after finishing 26th in the league in passing last season.
TILTED TOWARD OFFENSE: Six of the nine picks were offensive players.