Speculation mounted that the couple had called time on their three-year relationship after Australian DJ Kyle Sandilands told his listeners that he had been comforting his fellow Australia's Got Talent judge.
But in a statement to the Herald Sun, Dannii and Kris, who have 10-month-old son Ethan together, said it was business as usual.
'Thanks for your concern,' they said. 'We're happy to be back at home in Melbourne together as a family. We are committed to our relationship and Ethan as always.'
Dannii splits her time between her home country of Australia and England, where she has just launched a fashion line, and her hectic work schedule is believed to have caused friction between herself and model Kris.