"I'm getting better," Prescott said, via The Athletic. "It's all improving. I'll be good to go Sunday."
Cowboys owner Jerry Jones underscored his confidence Prescott will be fine Sunday during his radio hit on 105.3 The Fan, noting he's "not worried about" the quarterback.
"I'm totally convinced that he'll be in top form, and we've got to have him in top form, and he will be in top form," Jones said, via Michael Gehlken of the Dallas Morning News. "...I think we're in good shape."
Coach Jason Garrett said earlier Thursday that Prescott would continue to rest the banged-up shoulder in Thursday's practice.
"He probably won't throw it very much today," Garrett said. "I think rest is probably the best thing for him. ... He's progressing, but he hasn't really tested it that much, though."
Prescott, who again was listed as a limited participant, said that he did some movement during practice Thursday despite "nagging" pain, according to USA Today.