The little girl, who they have nicknamed 'Mills', is comfortably splayed out on her dad's chest in the snap, which the singer shared with more than three million followers on Twitter.
The singer captioned the adorable father-daughter pic: 'Bliss:)) Mills in a milk coma on papa :)' which explains why a new dad is getting a rare five minutes of repose.
Bliss:)) Mills in a milk coma on papa :) http://t.co/crjhfYYwst
- Peter Andre (@MrPeterAndre) November 24, 2014
He followed this with a series of random tweets over the next few minutes, explaining that he needed to pass the time as 'Mills still in an MC and I can't move'.
Proud Peter explained to Reveal last month that his little girl is already going from strength to strength when it comes to getting mobile.
"Mills has just started crawling but she's almost bypassing that stage," he told the mag. "She's going up to her seat and standing already. I think she's going to walk before she crawls."
Amelia is the Aussie singer's first child with 25-year-old fiancée Emily MacDonagh, a medical student who is living with her family in Somerset while Peter travels the country performing on his 'Big Night Tour'.
"It's not easy being apart because I want to see Ems and the baby as much as I can," doting dad Peter admitted. "After my performances, instead of staying for drinks I'm going home so Amelia can see me when she wakes up."
Peter, 41, is also dad to Junior Savva, nine, and seven-year-old Princess Tiaamii with ex wife Katie Price.