Briere, 35, has an annual salary cap hit of $6.5 million for the remaining two years of his contract, but is owed only $5 million in actual salary -- $3 million next season and $2 million in 2014-15.
If the Flyers buy out his contract, Briere would be owed $3.333 million over the next four seasons.
Teams can use up to two compliance buyouts and not have those contracts counts against the salary cap. Only Montreal and the New York Rangers have used one of their buyouts.
Briere also expects to be bought out, though his preference is to stick around with the team.
Several players across the NHL are expected to bought out this summer, including the likes of the Rangers' Brad Richards, who is being scratched from tonight's second-round Game 4 match against the Boston Bruins.
In 34 games with the Flyers this season, Briere registered six goals and 10 assists for 16 points.