The 23-year-old singer welcomed his first child with girlfriend Cheryl Tweedy in March, reported Femalefirst.
"I love getting tattoos. I haven't decided what yet but I'll make it a surprise. I've got to do my chest next, which is going to really hurt," Payne says.
The former One Direction star previously got a rose tattoo on his hand to match 33-year-old Cheryl's floral ink.