TV
Rex Features
The 30-year-old would have been replacing Fiona Phillips, who announced her departure as anchor for the show in August.
Phillips is giving up a £1.5 million contract after 12 years to be with her family. Others in the running to replace her include Kate Silverton and Ulrika Jonsson.
Klass told The Mirror: "Conversations were had, but I'm not doing it. I can't do late nights or early mornings anymore."
Klass and Gok Wan recently teamed up to present a new UK talent hunt for Channel 4, entitled Miss Naked Beauty.
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