Things "look positive" for Bryant, a first-round pick in the April draft, to make his NFL debut Sunday night at Washington, according to the source.
Cowboys receivers coach Ray Sherman said last week that he has been impressed with Bryant's performance in practice.
"I thought he did some good things," Sherman said. "He went through special teams. He went through drills with me. Then he came out and ran some plays with the offense. I thought he looked very good. He's ready to go."
The Associated Press contributed to this report.