According to the paper, Benn could get a contract in the $5 million to $6 million range after making just over $820,000 last season.
"We've had talks with Jamie for a year and a half, so we know the parameters," Stars GM Joe Nieuwendyk told the Morning News. "We've made it clear to them that it is a priority for us, and I think Jamie knows we want him in camp... It's important, but time will dictate whether it gets done."
It's unclear how long Benn is willing to sign for. He won't hit unrestricted free agent status until the 2016-17 season.
The Stars made several moves this off-season to bolster their lineup, signing veteran likes Jaromir Jagr and Ray Whitney.
Benn, an All-Star last season, registered 26 goals and 37 assists for 63 points in 71 games with Dallas.