"These two ships are on radar, that's for sure. If they demonstrate any hostile or provocative actions, depending on the degree of impudence and damage, they will get a response and will be served accordingly," Valuev said.
According to the admiral, the Russian Black Sea Fleet's reconnaissance system defines the so-called "priority objects," and the two US warships could become such objects.
On Tuesday, CNN reported, citing a US military official, that the US Navy was increasing its presence in the Black Sea in a bid to resist the build-up of Russian armed forces in the area.
The statement came after a US Navy warship, the USS Carney, sailed into the Black Sea, joining the USS Ross in order to "conduct maritime security operations," in a move to "desensitize Russia" to Washington's military presence in the region, according to a US military official on Sunday.