Robbie, 38, is expecting his first child with wife Ayda Field in September and the couple are already shopping for their new arrival.
The black stencil graffiti canvas of a baby by street artist Bambi - dubbed the female Banksy - will be installed in their Los Angeles mansion ahead of the birth.
According to a source Robbie "fell in love" with the piece. "Robbie is really getting into his art. When he saw the baby painting he fell in love with it and wanted it for his girl.
"He can't wait to hang it in his LA mansion. He has nothing on his mind but baby thoughts just now."
Take That bandmate Mark Owen
is also a fan of Bambi's work - he bought a £20,000 painting from her for his 40th birthday in January.
A source added to the Daily Star newspaper: "Robbie loved Mark's painting and knew he had to get in on the act."
Robbie is a bit of an artist himself. The singer took up art as a hobby while preparing for Take That's 'Progress Live' tour last year.
He's also expanding his artistic collection, revealing recently that he has commissioned paintings of his deceased dogs in Tudor costumes.