Barber missed last week's game against Carolina with a strained left quad injury. Barber felt good enough to play last week against the Panthers, but the trainers elected to keep him out for at least one more week.
"[Barber] did more [Wednesday] than we thought and he will have expectations, I would like to reserve that to after practice, but I bet he's pretty aggressive out here in practice, listening to how he responded [Wednesday] and listening to these trainers," Jones said.
Jones said backup running back Felix Jones (knee) will miss Sunday's game and will be evaluated next week. Felix Jones is less sore than he was on Wednesday and will miss practice today.
Also, starting left tackle Flozell Adams missed practice with a shoulder injury, though it is not deemed serious.
Calvin Watkins covers the Cowboys for ESPNDallas.com.