BriseBois acknowledged the possibility of Point receiving an offer sheet from another team.
"You never know," BriseBois said. "I think I'll be surprised if there's one in the League, but I know it's a possibility. I can't neglect the possibility or the risk of there being one. There's a reason there haven't been many, because most of the time it doesn't work to make an offer sheet."
Earlier this week, BriseBois and coach Jon Cooper reportedly met with San Jose Sharks forward Joe Pavelski, who can become an unrestricted free agent July 1.
Pavelski, who led the Sharks with 38 goals and had 64 points this season, is not expected to re-sign with the San Jose, where he played his first 13 NHL seasons, including the past four as captain.
As a result, he could land in Tampa Bay, which has a couple of forward spots open after Ryan Callahan was placed on long-term injured reserve June 20 and J.T. Miller was traded to the Vancouver Canucks two days later.
"For the last few years, we weren't really a player in terms of trying to attract big free agents," BriseBois said. "We kind of had our team. We didn't necessarily see players out there that we thought were the right fit. Whether it was contract terms, age, what we already had on the team.
"This summer is a little different. We're looking at different things. We're trying to find ways to improve our team because we think there are opportunities to make that happen. Maybe it will work out, maybe it won't, but we're investigating every opportunity to improve the team."