However, Amy's father Mitch has denied she created the painting with her blood.
He tweeted: "Do you believe that Amy painted that picture in her blood? Absolute rubbish."
The auction will take place at the Cob Gallery in London where Pete's work has been on display.
Amy's painting was previously displayed but not part of an earlier sale "due to its personal nature".
Pete has previously told of his upset at Amy's passing from accidental alcohol poisoning in June last year, although he also calls it an inspiring time.
He said: "When Amy died I was sat in a room, a matchbox room in London, not able to leave, basically wallowing in my own filth. Literally knee deep in s**t. Literally not able to move.
"I couldn't speak, I couldn't see anyone, I couldn't pick up the guitar, and when I did pick up the guitar it was to write woeful ballads about how Amy wouldn't be coming around tonight. It was an inspiring time."
Other items Pete is auctioning next week include military jackets, notebooks, and his writing desk.
- Bang! Showbiz