The 32-year-old is in the first year of a seven-year $42-million contract signed in March. He has 14 points (three goals, 11 assists) in 14 games this year. It's just his second season in New York after the team acquired him from the Boston Bruins ahead of the 2014-15 season.
The Islanders have also loaned defenceman Scott Mayfield to the Bridgeport Sound Tigers of the AHL.
Mayfield, 23, has played in three games with the Islanders with Boychuk injured. Mayfield was drafted by the team 34th overall in 2011.