PDMA will auction 1.0 billion euros of three-month paper and 1.25 billion of six-month T-bills.
Athens rolled over three-month T-bills last month, with the paper priced to yield 2.70 percent.
In a rollover, T-bill holders renew their positions instead of getting paid on the maturing paper they hold.
The settlement date of the new T-bills will be June 9. Only primary dealers will be allowed to participate and no commission is to be paid.