As PEOPLE witnessed during Tuesday’s late afternoon taping of CBS’s Late Show with David Letterman, the TV host did ask Lopez, 38, about her mother Guadalupe – who parented with tough love, her famous daughter explained.
Though clearly respecting Lopez and husband Marc Anthony’s privacy, Letterman, 60, nevertheless asked if J.Lo would be as tough a parent as her own mom if she ever started a family.
“If I can be as great a mom as she is,” Lopez responded, “then I will be all right.”
As a father himself – of son Harry, who turns 4 next month – Letterman acknowledged that parenting is challenging, and anything that may have worked when he was a kid is now totally irrelevant.
“You think you’re prepared to have a child – you’re not – throw it all away,” said Letterman, which prompted Lopez to laugh.
“So,” he went on to ask her, “the idea of having a family is daunting, isn’t it?”
“Yeah,” she answered with a broad grin, “it is.”