The actress and singer, 49, who co-presented the Eurovision Song Contest last year and performed at this year's Baftas, is said to have been approached by BBC bosses in recent weeks.
And insiders say Hannah - who is a friend of judge Anton Du Beke and his wife Hannah is seriously considering their offer.
One said: "Hannah would be an incredible signing for Strictly this year and so far things are looking very positive. She loves the show.
"She has heard so much about it from Anton and Hannah as she is a close friend to both and is keen to do it.
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