Anderson underwent a procedure to repair a torn meniscus, and he could miss as few as two games. Dallas has its bye week after next week's game at Houston.
"(Gronkowski has) done a pretty good job," Phillips told the Cowboys' Web site. "He didn't do a lot other than special teams (in Sunday's loss to the Washington Redskins). He did well on special teams. But he did a nice job on the run from the goal line. We have enough confidence to give him the ball on our 1-yard line. He played a couple of plays. But we feel good about him."
Also Thursday, linebacker DeMarcus Ware returned to practice on a limited basis as he recovers from a slight concussion. He's expected to fully participate in Friday's session.
Offensive linemen Marc Colombo and Kyle Kosier made it through the whole workout and are expected to start Sunday.
The Associated Press contributed to this report.