The 39-year-old netminder missed practice Tuesday to visit a doctor about his injured right shoulder.
Coach Pete DeBoer said he did not want to speculate about the nature of the injury without more information.
"It would just be an uneducated guess right now, so I'm not even going to go there," he said.
DeBoer said it was "possible" Brodeur could dress Friday against the Sharks, but that appears unlikely unless he could resume skating Wednesday.
DeBoer said he'd like Brodeur to have a few days of practice first before returning to play.
Brodeur suffered the injury making a diving stop in the team's 2-1 shootout win over the Kings Thursday and did not dress Saturday against the Predators in Nashville.
The Devils recalled AHL goaltender Keith Kinkaid from Albany Tuesday. Kinkaid backed up Johan Hedberg in Saturday's 3-2 shootout win in Nashville.
Hedberg is 3-0-0 with a 1.41 goals against average and .945 save percentage for the Devils this season.
Katie Strang covers the NHL for ESPNNewYork.com.