The warning came a day after 23 Filipino and two Russian crew members were rescued from a Greek-flagged oil tanker that was hit by several projectiles off the rebel-held Yemeni port of Hodeida on Wednesday.
The attack on the Sounion caused a fire and cut engine power.
It was claimed by Yemen’s Iran-backed Houthi rebels, who have waged a campaign against international shipping that they say is in support of Gaza during the Israel-Hamas war.
The Philippines is a major supplier of mariners to the global shipping industry.
Manila said on Thursday the Sounion was the ninth ship with Filipino crew members that had been attacked by the Houthis.
One Filipino remains missing from a Red Sea attack on the MV Tutor in June, while 17 Filipino crew of the Galaxy Leader have remained in Houthi captivity since the ship was seized last November.