Caroline Banana, who appeared on the Channel 4 show hosted by Noel Edmonds in 2011, did not disclose her winnings.
She admitted failing to disclose her windfall separately to both the Department of Work and Pensions and Stoke City Council with the intention of making a gain between 28 March 2011 and 13 May 2012.
The council said in total she had been overpaid £6,758.01 in benefits.
She also admitted failing to declare to the DWP and the council her employment at a chemist's, medical surgery and Longton Cottage Hospital.
Banana will be sentenced on Monday following reports.