Fowler was knocked from the game and had to be helped off the ice after a knee-to-knee collision with Calgary captain Mark Giordano in the third period of Tuesday's 3-1 win over the Flames at Honda Center.
"When I saw the hit, your heart goes in your mouth, and you're thinking that's it for the year" Murray said. "We may have gotten a little bit of a break. In a week or week and a half, we'll know more where he's at."
Giordano did not face a disciplinary hearing for the hit, according to the NHL, and he was not penalized on the play.
"It was dismissed very quickly by the people in charge," Murray said. "But as an old player I have no use for knee-on-knee hits, especially if I think they were somewhat intentional. I hear how [Giordano] is a good guy, but he's done this before. I have no respect for people who go after knees. I did not like the hit."
Said Giordano of the play that night, "He came through the middle with a lot of speed and I was honestly coming across trying to make a hit on him and I got to watch the game, but I think our legs collided. I don't know how bad, I just hope he's okay. You don't like to see guys get hurt. There was no intent to hurt him there.
"I was just trying to come across in a 2-1 game to try to stop him from getting to our net, trying to make a hit and the result was, I don't know if our legs collided or not, I think they did and I hope it's nothing too serious."
The 25-year-old Fowler had played in all 80 games and has a career-high 11 goals to go along with 28 assists and a plus-seven rating.