Segal, 29, made his NHL debut with the Tampa Bay Lightning in the 2008-09 season, and has played in 102 NHL games the past five years, for three different teams, scoring 11 goals. Last season he appeared in 10 games for the Lightning.
Rangers coach John Tortorella said he saw Segal play with the Whale during the lockout.
"The thing that caught my eye was, he was really good on the wall," Tortorella said. "He stepped in and fought a guy in a situation during a game where there was no hesitation. He’s been a good player for them. [Asham] is out because of his suspension, and this guy deserves a chance. So we’re hoping that it’s not just one and done -- we hope he’s part of our depth, and we’ll see where it goes."