Miles Austin, Tony Fiammetta practice

IRVING, Texas -- For the first time since Nov. 5, receiver Miles Austin is taking part in a practice for the Dallas Cowboys.

But outside linebacker DeMarcus Ware, the NFL's sack leader, was not at practice Wednesday. He suffered a stinger last week against the Arizona Cardinals, although he was able to play.

Austin missed the last four games with a right hamstring injury suffered on a catch against the Seattle Seahawks on Nov. 6. While he had hoped to return last week at Arizona, the Cowboys' medical staff was cautious with his return considering the problems Austin had with a left hamstring injury he initially suffered in training camp.

Austin missed two games after aggravating that injury on Sept. 16 at San Francisco.

Not only has Austin returned to the field, but so has fullback Tony Fiammetta, who has missed the last three games with an illness.

The returns of Austin and Fiammetta this week should bolster a Cowboys offense that has sputtered through the air and on the ground at times. DeMarco Murray did not average more than 4 yards a carry in Fiammetta's absence after a four-game stretch as the lead back in which he averaged at least 4.7 yards per carry.

Jason Witten's numbers have been affected by Austin's absence. He has caught 17 passes in the last four games with one touchdown. While Laurent Robinson flourished substituting for Austin, defenses have to pay more attention to the two-time Pro Bowl wide receiver, which would make life easier for Witten.

Ware wanted to practice Wednesday but was held out of the workout for precautionary reasons.

But the Cowboys' outside linebacker said he will play Sunday against the New York Giants. Ware has not missed a game in his career and has been able to play through neck/stinger types of injuries in the past.

"They didn't want me to hit it again and then have me miss some more time with it," Ware said. "I'll be running around tomorrow and doing stuff. I'll be back. I guess the way to say it is they want to be smart with it."

Guard Kyle Kosier (foot) went through pre-practice but will sit out the full workout, which has been the weekly plan for the last month.

Quarterback Jon Kitna (back), tight end Martellus Bennett (ribs), Robinson (shoulder), safety Danny McCray (ankle), defensive tackle Josh Brent (knee) and running back Phillip Tanner (hamstring) are not practicing.

Todd Archer covers the Cowboys for ESPNDallas.com.