Peter's newborn daughter — who was born last week — apparently still doesn't have a name as the Mysterious Girl singer wrote on his channel, "No name yet haha..." on Thursday.
The Australian star was eager to answer other questions though. Peter posted a link to his channel from his Twitter account, telling his fans, aptly named "Andrettes," to get creative and upload videos of themselves asking questions.
"Hey guys, I'm going to answer some more #HeyPete questions in the next few weeks, so get uploading your videos," wrote Peter. "You can ask me anything, the more random the better!
"Please don't ask me the name of the baby though! haha. Get creative Andrettes! :))) #HeyPete."
The father-of-three, who has been with his girlfriend and mother of his baby Emily MacDonagh since 2012, has been gushing over the arrival of the couple's first child.
"Btw a massive, massive thank you to everyone who has sent congrats and well wishes. She's such a beaut. Love you all lots," tweeted Peter.
Peter, 40, and Emily, 24, have previously said that they like traditional names. "I like the names Rose, Alexandra and Cleopatra," said the television star.
While Emily gave birth three weeks early at Musgrove Park Hospital in Somerset, she and the baby are said to be doing "fine".