Kuhlman was placed on waivers by the Islanders on Friday, per Elliotte Friedman of Sportsnet.
Kuhlman agreed to a one-year, two-way contract with the Islanders on Wednesday.
Kuhlman scored a goal in Winnipeg's 5-3 win against Philadelphia on Sunday.
Kuhlman scored his first goal as a Jet in a 4-2 win over Buffalo on Thursday.
Winnipeg claimed Kuhlman off waivers from Seattle on Tuesday.
Kuhlman was placed on waivers Monday, TSN's Chris Johnston reports.
Kuhlman registered an assist in Friday's 4-1 loss to the Capitals.
Kuhlman has been a healthy scratch for the last four games.
Kuhlman notched an assist and blocked two shots in Sunday's 5-4 loss to the Blackhawks.
Kuhlman signed a one-year, $825,000 contract with Seattle on Monday, Ryan S. Clark of The Athletic reports.