The singer - who recently announced she was pregnant with the couple`s first child - admits she and her spouse have different opinions on the moniker for their unborn tot, with the motocross star wanting something traditional while she favours something a bit different.
She said: "We`re all over the place. I`m all about meaning, and Carey feels like he had a girl`s hair cut and a girl`s name, and he doesn`t want kids to have a weird name.
"I have to get him on the boat for originality, so I`m working on him."
However, if their child is a boy, Pink says they have already have one frontrunner - Jameson, as a tribute to family members and their favourite alcoholic beverage.
The singer - whose real name is Alecia Moore - told US TV show `Access Hollywood`: "My dad`s name is James, and my brother`s name is Jason. Carey and I are both Irish, Carey`s middle name is Jason, and Jameson - we like whiskey. That`s a no brainer."
While Pink and Carey are struggling to agree on names, Pink knows Carey will make a great father because it`s something he`s wanted for so long.
She said: "Carey is so excited. He`s wanted to be a dad since - I mean, we`ve been together nine years on and off, and he brought it up two weeks after we met. So, he-s wonderful.