The couple, who got engaged in June, instead focus on Lampard's two daughters - 6-year-old Luna and 4-year-old Isla - from his previous relationship with Elen Rivas.
"We never talk about that," Bleakley told The Mirror. "I have so many friends who have really struggled. I just have a real superstition about it. Besides, we have the girls all the time."
The pair are taking care of the children full-time for the next month while Rivas is on holiday, and Dancing on Ice host Bleakley insisted that she was only introduced to the children when the relationship was serious.
"I didn't want to be someone who came and went in their lives," she said. "It's fabulous. I'm starting to feel a little bit more normal, it must be said."
Speaking of her Christmas plans, Bleakley added that she will see Lampard briefly before he leaves for Chelsea's match against Fulham on Boxing Day.
"Frank's around for a little bit of Christmas Day," she said. "It's annoying, not that I'm complaining, obviously. It's just one of those things. You get used to it."