Larry Birkhead and Dannielynn in November
02/27/2008 AT 10:35 AM EST
Larry Birkhead and Anna Nicole Smith
's 1-year-old daughter Dannielynn is "resting comfortably" after undergoing corrective eye surgery, Birkhead tells Entertainment Tonight.
Dannielynn, who was diagnosed with strabismus (commonly known as a lazy eye), "is home from surgery and resting comfortably," Birkhead tells ET
. "My thanks go out to Dr. Arthur Rosenbaum and the Jules Stein Eye Institute staff for taking great care of Dannielynn."
Birkhead, 34, previously admitted that it was tough to consider surgery
for the child, but told PEOPLE on Sunday
: "A lot of parents ... gave me a lot of support and a lot of encouraging words and gave me the strength. I'm a baby when it comes to needles myself, and I definitely don't want to hand my child over to some surgeons. So, it's a little nerve-racking but she's in the best doctors' hands."