"It's a priority for us," Nill told the newspaper. "I think if you want to be a contender, you have to be deep down the middle. That's something we've talked about over and over again."
It appears several teams are willing to dangle some of their top assets this off-season, which could make Nill's search a little easier.
The Ottawa Senators are shopping captain Jason Spezza, while the Carolina Hurricanes are reportedly willing to discuss captain Eric Staal.
The Morning News suggests Colorado Avalanche center Paul Stastny could be an option, as well, if he hits the open market as an unrestricted free agent July 1, and also lists Vancouver Canucks forward Ryan Kesler as a possible target.
"You have to do a lot of juggling, and you have to find the right fit," Nill said. "That's being prepared to move, and also being patient enough to find the right situation. That's what we're trying to do."
It's unclear what the Stars are willing to offer up as trade bait, but a package of young talent is likely the asking price for any trade.
Last summer, the Stars acquired center Tyler Seguin from the Boston Bruins, along with Rich Peverley and Ryan Button, in exchange for Loui Eriksson, Joe Morrow, Reilly Smith and Matt Fraser.
Seguin, 22, finished fourth in the NHL in scoring with 84 points (37 goals, 47 assists).