"Blinken spoke with ... Mahdi to find out her views on what steps the United States can take to support the people of Sudan," Price quoted RIA Novosti.
The Sudanese are calling for a civilian-led transition to democracy, he said.
"The US condemns the military takeover of power," Price concluded.
Earlier, Blinken spoke on the phone with the Prime Minister of Sudan, Abdullah Hamduk, released by the military.