Billy Joel offered a little insight into life with his 2-year-old daughter, Della Rose, in a rare daytime talk show interview with Harry Connick Jr., taped on Thursday.

“She comes in every morning and throws my shorts on the bed and says ‘Get out of bed, Daddy,’ ” Joel said, adding that she may have a future in music since she can already carry a melody and sing in key.

The wide-ranging interview, which will air on the season 2 debut of Connick’s talk show, “Harry,” on Tuesday at 2 p.m. on WNYW/5, also featured Joel and his band performing “Vienna” with Connick on accordion, followed by a version of “Don’t Ask Me Why” that had them singing and playing piano together.

Connick told Joel he was a “profound influence” and recalled that he once argued all through a high school French class about whether the “Glass Houses” album was too rock or not, before declaring that artists have a right to follow their passions.

“A lot of pop music can be repetitive,” Joel said. “I like so many different kinds of music.”

The Hicksville native told Connick that he’s used to being questioned about whether he will ever write another pop song. “I never stopped writing music,” he said. “I went back to my original passion, which was instrumental music.”

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Connick teased Joel about his original heavy metal band, Attila — saying, “ ‘Amplifier Fire’ that was my jam!” — before talking about Joel’s sold-out tour of stadiums this summer and his ongoing record-breaking monthly residency at Madison Square Garden.

“I still have a hard time believing what’s going on,” Joel, 68, said. “I’m just a piano player.”