"I really hope that for every one of those amazing people who writes about you or plays you on their radio show, that will reach 1,000 people. Because that is what is going to make me be able to keep doing what I love."
Peter Robinson, editor of Popjustice.com, which has supported Little Boots, described Hesketh as "the perfect pop star".
"She knocks out great tunes and takes her music seriously while celebrating the giddy heights of pop at its best," he said.
"As a result, she understands pop in a way that puts her miles ahead of her nearest rivals."
Alison Howe, producer of BBC Two's Later... With Jools Holland, put Little Boots on the show in November.
"Imagine if Debbie Harry had come from Blackpool and played the synthesiser," she said. "2009 looks set to be dominated by the sound of electro-pop and Ms Boots should be one if its stars with her wonderfully catchy pop songs."
The BBC Sound of... series is now in its seventh year. Mika, Corinne Bailey Rae and Keane are among the previous winners.
Little Boots will be in session on BBC 6 Music's George Lamb show on Friday between 1000 and 1300 GMT.
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