The French skater damaged muscles in his right arm while training with the Sugababes star, resulting in her now having to dance with a temporary partner for the beginning stages of the ITV contest.
"This is gutting news for everyone concerned," a source told The Sun. "Heidi and Sylvain were to be the glamour couple of the new series. He hurt the muscles in his right arm while practising on the ice with Heidi. It is quite serious.
"Sylvain will be fine but it's not yet known how long he will be out. Producers are confident he will be able to recover in time to rejoin Heidi later in the series. But for now they are planning to draft in a standby professional skater to partner her until Sylvain is better."
Keith Chegwin was forced to pull out of the upcoming series of Dancing on Ice after an accident on the rink.
David Beckham, Jennifer Ellison and Chesney Hawkes are among the other stars rumoured to be joining Range on the show.
Christine Bleakley and Phillip Schofield will host the next series of Dancing on Ice, while Louie Spence and figure skating champ Katarina Witt join Robin Cousins on the panel in place of Emma Bunton and Jason Gardiner.
Dancing on Ice returns to ITV on January 8, 2012.