Stamkos underwent surgery for a sports hernia prior to the NHL's pause in March, BriseBois told NHL.com's Bryan Burns. The Lightning captain recovered from that injury and fully participated in Phase 2 of the league's return-to-play plan, but his rehab triggered a compensation injury.
"We fully expect him to be ready for next season," BriseBois said, adding that Stamkos will meet with a specialist next week to ascertain the full extent of his current injury.
BriseBois also said Stamkos is expected to recover in a matter of weeks rather than months.
Stamkos saw just 2:47 of ice time during the postseason - scoring a goal in Game 3 of the finals - but the Lightning were victorious anyway, beating the Dallas Stars in six games to win the Stanley Cup.
The 30-year-old was productive when healthy during the regular season, tallying 29 goals and 37 assists in 57 games.