Viel was loaned to AHL Manitoba on Monday.
Viel was brought up from AHL Manitoba on Sunday under emergency conditions.
Viel was put on waivers by Winnipeg on Wednesday with the intent of sending him to AHL Manitoba if he clears.
Viel (upper body) agreed to a one-year, two-way contract with Winnipeg on Saturday, according to Sara Orlesky of TSN.
Viel (upper body) isn't expected to play Wednesday versus the Flames, per the NHL media site.
Viel (upper body) will remain unavailable ahead of Thursday's clash with San Jose, Sheng Peng of San Jose Hockey Now reports.
Viel (upper body) won't be in the lineup Tuesday against Colorado, Sheng Peng of San Jose Hockey Now reports.
Viel was summoned from AHL San Jose on Tuesday.
Viel was reassigned to AHL San Jose on Thursday, per CapFriendly.
Viel was promoted from the minors Monday, Sheng Peng of San Jose Hockey Now reports.