updated 12/29/2010 AT 11:00 AM ET
•originally published 12/29/2010 AT 7:00 PM ET
Four-day-old Zachary Furnish-John has already got a famous fan who can’t wait to meet him.
The son of Elton John and David Furnish, who was born via surrogate on Christmas Day, was the topic of a Tweet from John’s pal Elizabeth Hurley on Tuesday.
“Can’t wait for my first cuddle,” Hurley Tweeted on Tuesday. The actress also told PEOPLE exclusively that she knows the singer and his partner will make great parents.
“Elton and David have been wonderful godfathers to my son and I know they will be wonderful parents,” she says. “I couldn’t be happier for them.”
“Zachary is healthy and doing really well,” the couple said in a statement. “We are very proud and happy parents.”