Cooks caught three of nine targets for 15 yards and rushed once for minus-5 yards in Sunday's 23-19 loss to the Commanders.
Cooks brought in four of eight targets for 52 yards in the Cowboys' 41-7 loss to the Eagles on Sunday.
Cooks and Jalen Tolbert (finger) are expected to serve as the Cowboys' top two receivers for the next two games with Dallas announcing Thursday that CeeDee Lamb (shoulder) has been ruled out for the season, Todd Archer of ESPN.com reports.
Cooks caught three of five targets for 34 yards in Sunday's win over the Panthers.
Cooks caught one of three targets for a three-yard touchdown in Monday night's loss to the Bengals.
Cooks (rest/knee) practiced without limitations Friday, Jon Machota of The Athletic reports.
Cooks (knee), who was activated from injured reserve Wednesday, doesn't have a designation for Thursday's contest versus the Giants, Mike Garafolo of NFL Network reports.
The Cowboys activated Cooks (knee) from injured reserve Thursday.
Cooks (knee) remained limited in Tuesday's practice, Jane Slater of NFL Network reports.
Cooks (knee) was not activated by the Cowboys on Saturday and will not play against the Commanders on Sunday, Clarence E. Hill Jr. of the Fort Worth Star-Telegram reports.