Currently, Chelsea footballer Lampard lives close to Rivas and their two daughters Luna, 6, and Isla, 4, in West London, but he has recently been offered £13 million to play alongside David Beckham at LA Galaxy.
© ITV
© PA Images
The Spanish model told The People that her children would be badly affected if Lampard went ahead with the move.
"It would be terrible for my babies. They adore their dad - but it's so far away so they wouldn't be able to see him when they want," she explained.
"They love spending time with him but I'm worried if he was over there they would hardly ever see him. They're so little so they wouldn't understand what is going on - but they'd know they would hardly see their daddy."
This is not the first time Rivas has hit out at Lampard and Bleakley, after a public spat on Twitter regarding Rivas's daughters at Christmas.
> Christine Bleakley, Frank Lampard 'won't sell wedding'
