The 25-year-old Peters went 2-3-2 in seven NHL games last season, spending most of the season with the Charlotte Checkers of the American Hockey League. He went 10-13-2 with a 2.77 GAA and .907 save percentage in 28 games.
"Even prior to that injury to Boucher, with the way Peters played last year -- he got to play more games in Charlotte, which is why we signed Boucher, and with the way he played when he came up here -- he has always been in the mix of conversation of being one of our two goalies this coming year," Hurricanes general manager Jim Rutherford told the team's website.
Rutherford said no decision on the goaltending would come before July 1.
"Obviously this thing with Brian's injury gives Justin a better chance, but the fact that we're this close to July 1, we're probably going to wait a few days into [the free agency period] to make a decision," he said.
Contact Adam Kimelman at firstname.lastname@example.org. Follow him on Twitter: @NHLAdamK