The Stars have yet to seek permission from the Rangers to speak with Tortorella, however.
Tortorella was fired less than two weeks ago after the Rangers' disappointing second-round exit from the playoffs.
The polarizing Tortorella, whose brash, aggressive coaching style is believed to have worn thin after four years as coach of the Rangers, is still under contract with New York. Tortorella signed a contract extension during the 2013 season.
Because of the time and salary remaining on Tortorella's deal, which remains in effect as long as he doesn't coach somewhere else, the Rangers are not expected to stand in his way of taking another job.
The Stars have also received permission from Vancouver to speak with Alain Vigneault, who is considered to be among the front-runners for the Rangers job as well.
The Stars, who finished 22-22-4, dismissed second-year coach Glen Gulutzan last month, a few weeks after former Red Wings assistant general manager Jim Nill replaced Joe Nieuwendyk as general manager of the Stars.