A picture taken on February 24, 2018, shows a view of the ancient city of Zabid, a UNESCO World Heritage Site currently on the list of World Heritage in danger, in Yemen's western Hodeidah province. (AFP / ABDO HYDER)
Residents and international organisations fear the coalition's warplanes may hit the town itself, as it is still under the control of the Houthi rebels.
The coalition did not immediately respond to a request for comment.
"The fighting in Hodeida governorate is at the gates of the historic city of Zabid, fanning fears for the fate of its cultural heritage," said Alexandre Faite, head of the International Committee of the Red Cross's delegation in Yemen.
Zabid overlooks a river 75 kilometres (50 miles) southeast of Hodeida, the rebel-held Red Sea port city which faces a naval blockade by the government.