The Stars have roughly $20 million in available salary cap space, according to CapGeek.com.
Whitney is coming off a two-year, $9 million contract and it has been widely speculated that he could ink a deal with the Phoenix Coyotes this summer.
He spent two seasons with the Coyotes prior to joining the Stars and recently bought a home in Phoenix, where he plans on spending his off-season with his family.
If Whitney is willing to sign at a discounted rate, he could ink a one-year deal with the Coyotes in July.
In 69 games with the Stars this season, Whitney registered nine goals and 23 assists for 32 points.