It appears Evgeni Nabokov's season is over.
The move is an indication that Nabokov, who left Tuesday's game against the Penguins in Pittsburgh with a lower-body injury, will rest for the remainder of the season.
Nabokov, also 36, suffered the injury less than a week after signing a one-year, $2.75 million contract extension with the Islanders. The veteran has battled groin issues on multiple occasions this year.
The Islanders are missing the playoffs for the fifth straight season.
Grahame, who has played in 224 NHL games with stints in Boston, Tampa Bay and Carolina, most recently played for the AHL Lake Erie Monsters. He has not played in the NHL since the 2007-08 season, when he was with the Hurricanes.