The TV presenter is said to have popped a rib in rehearsals, but hopes to battle through the pain in order to compete on Sunday night, reports The Sun.
Turner apparently spent yesterday in bed after she felt the bone "ping" out of place while rehearsing.
The source said: "Anthea popped a rib during her duel routine on Monday and has a hot water bottle on her ribs all day, but she hasn't missed any training - yet.
"She is really worried about it, as she is in a lot of pain, but she's a real trooper and is insisting that it will be all systems go for this weekend.
"Her attitude is that the show must go on, and she has told everyone she will be at training over the next few days, regardless of the rib injury."
Yesterday, Turner tweeted: "Lying on my bed with hot-water bottle strapped to my ribcage. Felt it and heard 1 ping Y/day PAIN!!!! (sic)."
Sunday's show will see Anthea Turner go up against Shayne Ward in a head-to-head duel.
Each duo will battle it out against a couple who scored similar results last week. Leaders Matt Lapinskas and Brianne Delcourt will go up against Gareth Thomas and Robin Johnstone.
One celebrity from each skate-off will be granted immunity by the judging panel - with five losers facing the public vote.
In pictures - Dancing on Ice live show two: