The ships from Russia's Pacific Fleet have been involved in the anti-piracy operation off the Somali coast since the beginning of January and are heading to Indonesia, where they will visit the port of Jakarta on March 24-28 before returning to their main base in Vladivostok.
Earlier a Navy spokesman said that the Admiral Panteleyev destroyer would set sail from Vladivostok in April to take part in the anti-piracy operations in the Gulf of Aden.
Both warships are Udaloy class missile destroyers, armed with anti-ship missiles, 30-mm and 100-mm guns, and Ka-27 Helix helicopters.
According to the UN, Somali pirates carried out at least 120 attacks on ships in 2008, resulting in combined ransom payouts of around $150 million.
Around 20 warships from the navies of at least a dozen countries, including Russia, India, the United States, China and Arab states are involved in anti-piracy operations off Somalia, which has been ravaged by years of civil war.
Somalia's new unity government plans to tackle the problem of piracy by creating a maritime corridor through the country's territorial waters with international assistance.