The haze, a phenomenon known as "vog" or volcanic smog, "is spreading across Micronesia," the US National Weather Service based in Guam said.
The volcano on Hawaii's Big Island is now in its fourth week of eruptions.
Meteorologists advised residents on the Marshall Islands with respiratory problems to stay indoors while airlines and shipping companies were warned to be aware of "lower visibilities".
The Guam weather office said haze produced by Kilauea would spread farther westward and reach Kosrae, Pohnpei and possibly Chuuk in the Federated States of Micronesia over the next few days.
It started erupting on May 3, prompting about 2,000 people to flee from their mountainside homes.
Scientists believe the volcanic activity may be a precursor to a major eruption similar to the one that shook the island in the mid-1920s.
(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)
Election Results for Lok Sabha Election 2019 will be out on May 23. Get the latest election news and live updates on ndtv.com/elections. Catch all the action on NDTV Live. Like us on Facebook or follow us on Twitter and Instagram for news updates from each of the 543 parliamentary seats for the election 2019