Scottish Labour's new leader Richard Leonard has said the party's MSPs will consider suspension for his predecessor Kezia Dugdale.
Mr Leonard said he was a "bit disappointed" by her participation.
Ms Dugdale is understood to be donating her parliamentary salary to charity while she is on the show.
Mr Leonard said of a possible suspension for the former leader: "I think it's something the (parliamentary) group will have to consider."
"I awoke as many other people did this morning to the news that Kezia is going into that programme," he said, "and I think that is something the group is going to have to consider over the next few days and I think we will consider."
He added: "I was a bit disappointed but I think it is a decision the group is going to have to consider."
Ms Dugdale's decision to take part in the show has already been criticised by Scottish Labour MSP Jenny Marra, who tweeted: "Election to parliament is a privilege to serve and represent people. It's not a shortcut to celebrity."
Ms Marra, the MSP for North-East Scotland, also questioned whether the announcement was an "April Fool in November".