Vander Esch sustained a neck injury, while Quinn is dealing with a rib issue, Scales adds.
The 23-year-old Vander Esch is coming off an impressive rookie season that saw him finish third among all players in combined tackles (140) while earning Pro Bowl and second-team All-Pro honors.
This season, the Boise State product contributed 51 combined tackles, 0.5 sacks, two passes defended, and one forced fumble through the first six weeks. He added two tackles - including one for loss - before leaving in the second quarter.
Quinn, who the Cowboys acquired for a sixth-round pick in March, sustained his rib injury on the final defensive snap of the first half, just a few plays after recording his sixth sack in five games this season.
The 29-year-old led the NFC with 19 sacks in 2013 and appears to have recaptured that Pro Bowl form since returning from a two-game suspension for PED use.