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A federal appeals court in May overturned the Amicos' convictions, ruling that the judge who presided over their trial should have recused himself when a prosecution witness claimed he had once helped the judge fraudulently obtain a mortgage.
In exchange for their guilty pleas, the Amicos will avoid a new trial and receive lighter sentences than the ones they received after they were convicted.
Robert Amico, who originally was ordered to prison for 17 1/2 years, will be sentenced to at least 10 years under the plea agreement. He has served more than four years already.
Richard Amico, who received an original prison term of nine years, will get a maximum of five years. He has already served more than three years.
The brothers will receive credit for the time they've already served and remain free until they are sentenced in January.