His first steps from YouTube cult to genuine celebrity came in early April when a reporter from a free Moscow weekly decided to track down the mysterious Tajik.
He found Mr Allaberiyev in a shopping mall with the incongruous name of "Rio" in a grim provincial town two hours out of Moscow.
Like tens of thousands of Tajiks, he had made the journey to Russia in search of work and money.
The journalist called a friend, a Russian producer who was organising a concert for British band Asian Dub Foundation in St Petersburg.
Arrangements were made for Mr Allaberiyev - who everyone calls Jimmy - to support the British group at the concert.
For the big day, the Tajik bought a new shirt, grew a mullet, and instead of tapping out his melodies on an imaginary keyboard, used an iron bucket to lay down a rhythm with his fingers.
His performance was a roaring success, and since then, it's been a dizzying upward spiral for Jimmy.
Concerts have followed at Moscow nightclubs, he has been featured on television documentaries, and a St Petersburg promoter has signed a contract with him that he hopes will enable him to become a full-time singer and record an album.
He has come a long way from his birthplace in the mountains of tiny Tajikistan, a poverty-stricken former-Soviet republic that borders China and Afghanistan.
His brother worked as a cinema projectionist, and the young Baimurat would watch the Bollywood films.
"I had a talent; I could learn any song in a couple of days," he remembers.
"I didn't know what the words meant but I still understood the meaning."
He started singing at weddings, and when he moved to Russia two years ago, the plan was to earn enough money to buy a Yamaha keyboard.
Now, he is aiming for bigger things.
"I want to be a star," he says with a smile that exposes his missing front teeth.
An impatient Russian camera crew are waiting to interview the new star, and our interview draws to a close.
As he says goodbye, he leans over and asks for 200 roubles (NZ$10.70); he is using his new status to collect as much money as possible to send back to Tajikistan to buy medicine for his father.
It's a sign that while he may be flavour of the month on the Moscow clubbing scene, there is still a long way to go.
For his Moscow concert on Wednesday he was paid about 100 pounds (NZ$262), and admits he has no idea where he is going to sleep.
"I have to be back at work at 9am, and I don't know how I'm going to get back there or where I'm going to stay," he says, looking rather confused as a concertgoer thrusts a beer into his hands and asks for a photo together.
"Maybe I'll just sleep in the club somewhere."
- INDEPENDENT