A BBC insider confirmed to the Mirror: "Brendan has choreographed the routine but is resting until Friday as per doctors orders. So Gorka will be running the routine with Anastasia in training until then."
Cole went to hospital on Saturday morning after struggling to breathe with a lung infection, but still performed on the show later that day.
However, viewers noticed he was out of sorts and seemed short of breath after the performance, as he clutched his chest whilst listening to the judges' comments.
Cole took to his Twitter account that morning to let fans know he was still fine to compete in the show and praised the NHS staff who cared for him.
Cole is well known in New Zealand as a judge on Dancing With the Stars but has been a household name in the UK since securing a regular spot on Strictly in 2004. He went on to star in all nine series of the show.