No surgery will be required.
"It's just a bruise," Devils general manager Lou Lamoriello said, according to The (Bergen) Record.
"It's good news and it could be less. It's just to avoid all the questions every day,"
Brodeur has not practiced since suffering the injury Oct. 13 while making a diving save during the first period of a 2-1 shootout victory over the Los Angeles Kings.
He visited with a doctor Tuesday and has had an MRI.
The 39-year-old veteran, who is 0-1-0 with a 3.00 goals-against average and .900 save percentage this season, had missed a combined 76 games the last two seasons due to injury.
Hedberg is 3-0-0 this season, with a 1.41 goals-against average and a .945 save percentage.
The Devils recalled AHL goaltender Keith Kinkaid from Albany Tuesday to serve as Hedberg's backup.
Kinkaid backed up Hedberg in Saturday's 3-2 shootout win over the Nashville Predators.
Mike Mazzeo is a frequent contributor to ESPNNewYork.com.