Eyssimont earned an assist against Edmonton on Thursday.
Eyssimont agreed to a two-year, $1.6 million contract with Tampa Bay on Friday.
Eyssimont (upper body) is expected to play Thursday versus the Maple Leafs in Game 5, Eduardo A. Encina of the Tampa Bay Times reports.
Eyssimont (upper body) will not play Monday against Toronto, Gabby Shirley of Bally Sports Florida reports.
Eyssimont (upper body) won't play in Saturday's Game 3 versus the Maple Leafs, Chris Krenn of the Lightning's official site reports.
Eyssimont (undisclosed) will miss Game 2 against Toronto on Thursday, according to Eduardo A. Encina of the Tampa Bay Times.
Eyssimont produced an assist, three shots on goal and two PIM in Thursday's 6-2 loss to the Predators.
Eyssimont scored a goal and added two assists in Friday's 5-4 overtime loss to the Hurricanes.
Eyssimont recorded two assists in Monday's 4-3 shootout loss to the Devils.
Eyssimont was claimed off waivers by San Jose from Winnipeg, Curtis Pashelka of The San Jose Mercury News reports.