The USS Taylor (FFG-50) guided missile frigate would make a two-day regular port call the spokesman said, adding that no drills were planned during the stopover.
The 20-member crew will be met by representatives of the local administration and the Georgian Coast Guard, and a number of cultural events have been scheduled, he said.
U.S. warships have made similar visits to the Georgian ports of Poti and Batumi since 2001.
The USS Barry (DDG-52) guided missile destroyer visited Georgia in late November.
The U.S. supported its ally Georgia throughout the August conflict with Russia over Georgia's breakaway region of South Ossetia.