Lisa Marie Presley broke the news to ET Tuesday that she's having twins with hubby Michael Lockwood, and now mom Priscilla Presley has the dish on her upcoming bundles of joy!

"It's her time to celebrate with her husband," Priscilla tells our own Mark Steines. "My daughter is a very family girl. She loves children, and I know that she and Michael have been hoping for this for a long time."

Priscilla says that twins run in the family "on Elvis' side and on my side too. I have twin brothers, and then, of course, Elvis had a twin brother [that died at birth]."

"You kind of start seeing double," she says with a laugh, adding that at home, "We don't say grandma, we say 'Nona' -- it means 'Grandma' in Italian. There's just such a connotation with Grandma and I just liked it better. [Lisa Marie's children] say it so sweet: 'Nona.'"

Over the weekend, Lisa Marie's rock star pal Pink threw a baby shower, and Priscilla says her baby radar is back, full-on!

"I'm looking at baby stores; I'm looking at all the incredible things that are out there today that I wish that were there during my time -- and makes life so much easier today," she explains. "It's just fun to have a baby!"

Watch ET for more with Priscilla and the exciting news about Lisa Marie's twins!