The spokesman said fragments of the Russian spaceship that failed to burn up in the Earth's atmosphere were expected to sink in the Pacific Ocean at 5.53 p.m. GMT.
"The ship was undocked from the ISS in normal mode," the spokesman said.
The remaining fragments will be sunk some 3,900 km (2,420 miles) southeast of Wellington, New Zealand.
The Federal Space Agency said May 30 that a Progress M-57 spaceship would be launched on a Soyuz-U rocket on June 24. When it docks with the ISS two days later, it will deliver fuel, consumables, scientific and research equipment and water for Russian and American astronauts Pavel Vinogradov and Jeff Williams.
The agency said the ship would be launched from the Baikonur space center, which Russia leases from the Central Asian republic of Kazakhstan.
Vinogradov and Williams, the 13th ISS expedition, began their mission on board the orbital station on April 1.
