Speaking to US newspaper The Tennessean before the Country Music Awards (CMA) yesterday in Nashville, Rimes insisted that Cibrian, 37, has not asked her to marry him.
The 28-year-old said: 'I don't know how many times I have to say it, I say 'no' and people think we are and I'm just not admitting it.'
Rimes, who presented the single of the year to Lady Antebellum at the CMA event, revealed that she had “had it” with the rumours after her mother started believing she was engaged.
For now, Rimes said that she will be spending the holidays with Cibrian and his two children.
She told UsMagazine.com: 'For Christmas, we will be at home at our house with all the family coming to us.
'He [Eddie] has been introducing me to the kid tradition, I've never had kids running around on Christmas morning.'