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The 42-year-old rapper and the 29-year-old model are on a list of names being tried out in training by ITV producers, according to The Sun.
A source said: "Bosses think Vanilla Ice and Calum will be big draws and are eager to get them on."
Other celebrities believed to be in the running to compete on the show include Kerry Katona, Jonathan Wilkes, Johnson Beharry, Matthew Cutler and Tim Westwood.
A Dancing On Ice insider recently informed DS that the show's upcoming sixth series will be filmed in HD at Shepperton Studios for the first time.
