The singer and husband Carey Hart became parents five months ago when she gave birth to daughter Willow Sage, and the `Raise Your Glass` hitmaker is already thinking about expanding her family further.
She told E! News: "We want a basketball team. We want lots and lots and lots."
The 32-year-old star also revealed Willow is already a fan of her music and settles down when she hears her mother sing.
She said: "She stops crying when I sing. My dogs leave the room and she stops crying.
"I sing `You Are My Sunshine` and I make up songs for her because I`m goofy."
However, Pink admitted she is trying not to let motherhood set the tone for her next album.
She said: "I promised my fans I wouldn`t write an album full of lullabies. So I`m swallowing that as we speak."
Pink recently revealed she and Carey had named their daughter after an "unbreakable" tree because they liked the meaning behind the moniker.
She said: "It is the most flexible tree and nothing can break it - no wind, no elements. It can bend and withstand anything. I love that sentiment and I want that for her.
"Sage is cleansing and sacred and it sounds great with Willow. It doesn`t hurt that her last name is Hart - flexible, cleansed heart."