Hiller reportedly had minor surgery after experiencing the attack working out in Switzerland.
"The procedure nowadays ... they can do it arthroscopically," Flames general manager Brad Treliving told the Calgary Herald on Thursday. "They’re saying within nine to 12 days you're up and back to normal.
"[Hiller’s agent] felt by next week that he's right back in the swing of things. The hope and the plan and the expectation right now is that there's no long recovery period."