The official cut-off price was unchanged from Thursday's dollar sale, but one trader said the dollar changed hands at 8.50 pounds in the parallel market on Sunday, compared with 8.52 pounds on Thursday.
Egypt announced last month that Hesham Ramez would be replaced as central bank governor this month by senior banker Tarek Amer. The move was welcomed by traders, who expect a new approach to the country's currency crisis.
Cairo has sought to tame a once-thriving currency black market with measures such as a cap on dollar-denominated bank deposits.
The central bank gave permission in January to trade dollars up to 0.10 pounds above or below the official rate, with currency exchange bureaux allowed to trade at 0.15 pounds above or below the official rate.
The central bank kept the pound at 7.5301 for five months until July, then allowed it to slide to 7.7301. In October, it let it weaken by another 0.20 pounds to 7.9301.
Allowing a controlled weakening of the pound could boost exports and attract further investment, but it would also raise Egypt's already large bill for imported fuel and food staples.