Morrow has missed the past 18 games because of neck and back issues and is listed as questionable for Saturday's game against the Anaheim Ducks at American Airlines Center in Dallas.
He did go through the team's optional practice Friday morning.
Morrow's status for the game is expected to be determined after the morning skate. If he doesn't play Saturday, he is expected to be ready to play Tuesday when the Stars travel to take on the Minnesota Wild.
"Right now, it's one day at a time. I got a good skate in today. I'll see how I feel when I wake up tomorrow," Morrow said. "I think tomorrow is questionable. If I don't get in there tomorrow, I am expected in Minnesota at least."
Whether Morrow plays Saturday or Tuesday, he's anxious to get back and join the team, which is on an 8-0-1 run that has pushed them to the top of the Pacific Division and the third seed in the Western Conference.
"This is where I want to be, a part of this," Morrow said. "The team is on a roll and I'd like to get back in there and help them out."
Morrow, who has missed 25 games this season mostly because of the neck and back problems, has 22 points in 43 games.
The Stars will be without defenseman Sheldon Souray Saturday. He is out with a lower-body injury suffered in Thursday's 4-3 shootout victory over San Jose.
Forward Steve Ott, who missed Thursday's game with back spasms, is listed as questionable for Saturday.