Councilwoman Veronica Airey-Wilson was charged last year with tampering with physical evidence.
Authorities said she received free home improvements from a city contractor and falsified records to make it look as if she paid for the work.
Under the program, the charge will be dropped if she successfully completes the program in January.
Several people were arrested in the corruption probe. Perez was convicted in June of taking bribes and attempted extortion and sentenced to three years in prison.