Perfetti scored two goals, including an empty netter, in Thursday's 4-2 win over the Canucks.
Perfetti picked up an assist in Sunday's 5-2 win over the Sabres, ending a 15-game point drought.
Perfetti scored his first goal of the season Thursday in a 5-3 loss to Vegas.
Perfetti (upper body) is expected to play in Monday's exhibition matchup against Calgary, David Minuk of Illegal Curve reports.
Perfetti (upper body) practiced in a regular jersey Friday, Mitchell Clinton of the Jets' official site reports.
Perfetti (upper body) is expected to center a line with Nikolaj Ehlers and Nino Niederreiter on Thursday in the Jets' first on-ice practice, Scott Billeck of the Winnipeg Sun reports.
Perfetti (upper body) has begun skating but continues to be 10-14 days from rejoining the lineup, Ken Wiebe of Sportsnet reports Monday.
Perfetti (upper body) isn't expected to be an option for Game 1 of Seattle's first-round series against Vegas on Tuesday, per Ken Wiebe of Sportsnet.
Perfetti (upper body) skated in a non-contact jersey Saturday and could return to action in two weeks, Mike McIntyre of the Winnipeg Free Press reports.
Per Jets' Game Night host Kelly Moore, Perfetti (upper body) will be out a minimum of eight weeks, according to coach Rick Bowness.