Shock jock Kyle Sandilands has been taken off air once again, this time after saying actress Magda Szubanski could become skinny if she was in a concentration camp.

Sandilands is expected to face the wrath of advertisers and listeners only weeks after he and co-host Jackie O sparked a furore over a segment in which a 14-year-old girl, who was hooked up to a lie detector, revealed she was raped when she was 12.

Some major sponsors withdrew advertising from the Austereo group, the owner of 2DayFM, and Kyle and broadcaster Jackie O went off-air for two weeks.

Szubanski, who is a spokeswoman for a weight loss company, has lost 25kg since she appeared on the comedy series Kath and Kim.

2Day FM released a statement this morning saying that Sandilands has again been stood down while it investigates the incident.

The statement read: "the comments made by Kyle were unacceptable and sincerely apologises and regrets any offence they caused."

Szubanski's family is of Polish origin, a country where many of the worst Nazi concentration camps, including Auschwitz, were located.

Sandilands joked today that Szubanski's work with the weight loss campaign was not finished.

"Magda could have another run out of it," he said on 2Day FM.

"She could get another season out of them, easy ... she's not skinny."

Jackie O suggested Szubanski might not be able to lose any more weight due to her build.

"That's what all fat people say," Sandilands replied.

"You put her in a concentration camp and you watch the weight fall, like she could be skinny."

Szubanski brushed off the comments, but said they were offensive to those who had suffered in concentration camps.

"I couldn't give two hoots about what Kyle says about me, but to trivialise what happened to people in concentration camps is abhorrent," she said.

The head of Austereo Group Ltd Peter Harvie has previously admitted he does not listen much to Sandilands and Jackie O.

Jewish leaders called last night for his sacking.

"Why would you want to have anything to do with somebody like this?" Australian/Israel and Jewish Affairs Council spokesman Jeremy Jones asked the Herald Sun.

"To joke about the experience of people who are being starved to death or murdered... is quite horrendous.

"There are people who confuse freedom of speech with gratuitous, insulting, offensive behaviour. They're two quite different things."

But today Sandilands went on air saying he did not mean "to offend her (Szubanski) or anyone else with those comments".

He then said he was trying to contact the actress and it was "just one of those things" - an echo of comments last month from Jackie O, who dismissed the pair's earlier lie detector controversy as "just one one of those moments when live radio happens".

2Day FM have not indicated how long Sandilands will be off air for.