Stamkos scored a power-play goal in Thursday's 6-2 loss to the Panthers.
Stamkos scored a goal on two shots in Wednesday's 3-2 loss to the Capitals.
Stamkos picked up two assists Monday in a 3-2 overtime loss to Tampa Bay.
Stamkos signed a four-year, $32 million contract with Nashville on Monday, Elliotte Friedman of Sportsnet reports.
Stamkos is set to become an unrestricted free agent on July 1 after Lightning general manager Julien BriseBois said Friday that he's not sure the two sides will reach an agreement on a new deal, reports NHL.com.
Stamkos deposited two goals, including a power-play tally, in Saturday's 6-3 win over the Panthers to stave off elimination in the conference quarterfinals.
Stamkos scored a goal on two shots and added six hits, two blocked shots and a minus-2 rating Thursday in a 5-3 loss to the Panthers in Game 3 of the Lightning's first-round series.
Stamkos scored a goal on a team-high seven shots in Monday's 4-2 loss to the Sabres.
Stamkos scored two power-play goals in Saturday's 5-4 loss to the Penguins.
Stamkos tallied a power-play goal in Tuesday's 4-2 loss versus Winnipeg.