Mo Williams will re-sign as a free agent with the Utah Jazz only if he remains the starting point guard next season, a source told Yahoo! Sports on Friday.

The demand comes a day after the Jazz traded up in the draft to get University of Michigan star Trey Burke, who was selected ninth on Thursday night.

"He's not going to come back as a backup," the source said of Williams.

As for Burke, he told reporters Thursday, "My goal is to come in and start right away. I look forward to coming in and helping the team win."

Williams, a 10-year NBA veteran, averaged 12.9 points and 6.2 assists during his injury-plagued 2012-13 season in which he played 46 games.