Geophysicist Magnus Tumi Gudmundsson says there are still tremors and seismic activity which could mean another eruption, the Iceland Review reported Wednesday.
Iceland's Soil Conservation Service has been working on a plan to keep the volcanic ash from spreading.
Director Sveinn Runolfsson says approximately 3.4 percent of Iceland has extensive ash accumulation.
He estimates it will cost $781,000 to bind the ash by sowing the fields and spreading fertilizer.
For the past few days, winds have been blowing from the southeast, carrying ash from the eruption site to the area around the capital of Reykjavik.