Winehouse's nominations include record, album and song of the year
Her performance in a studio in the early hours of Monday in London will be beamed into the show in Los Angeles.
And she will also make any acceptance speeches by satellite if she wins any of the six awards she is nominated for.
The singer is leaving the rehab clinic where she has been treated for two weeks to prepare for the performance.
The visa decision followed a series high-profile drug problems.
She was fined for cannabis possession in Norway last year and has been questioned by London police in connection with a video apparently showing her smoking a crack cocaine pipe.
"I'm raring to go and really excited to be performing at my first Grammy Awards," the star said in a statement.
Her spokesman said an invited audience of friends and family would be at the studio, but he did not know what she would sing.
The satellite link will be in place during the whole show so she can speak if she is a winner.
"Anything that happens, she will be there to say thanks," the spokesman told the BBC.
Her nominations include the prestigious prizes for record, album and song of the year.
The star, whose hits include Back to Black and Rehab, will remain under medical supervision while she is out of the Capio Nightingale clinic.
"She is feeling great, looking healthy and looking forward to doing what she does best," her spokesman said.
Back To Black was the biggest-selling album of 2007 in the UK, shifting more than 1.85 million copies, and has sold another 1.5 million in the US.
The Grammys is the most prestigious award event in the music industry's calendar.
Organisers have also announced that Kanye West - who leads this year's field with eight nominations - will also perform.Other performances include a duet between Beyonce and Tina Turner, John Fogerty playing with Jerry Lee Lewis and Little Richard, plus the Foo Fighters, Aretha Franklin and Alicia Keys.