Winnipeg claimed Stevenson off waivers from Washington on Monday, Elliotte Friedman of Sportsnet reports.
Stevenson appeared in five regular-season games for the Capitals over the past two years, posting a 3-2-0 record and allowing 13 goals on 139 shots. As a member of the Jets, Stevenson could compete for playing time with Stuart Skinner this campaign, as Connor Hellebuyck (suspension) is seemingly out of the picture.