The pair were apparently spotted trying out for the ITV show at Alexandra Palace ice rink last week along with Olympic star Luke Campbell, who won a gold in the boxing.
Producers have since offered Turner a £50,000 fee to take part in the competition, according to The Sun.
"Anthea is still a household name and someone who ITV chiefs are convinced that their viewers will want to see on the ice rink," an alleged insider said.
"She has managed to keep herself in good nick over the years and is very fit for someone who is 52. Also, Anthea has not been on the television for years so is aching to get back into the limelight."
Turner returned to the headlines in July following claims that her husband Grant Bovey had an affair.
Jedward, Tara Palmer Tomkinson and former The Only Way Is Essex star Lauren Goodger are among the other names linked to Dancing on Ice's eighth series.