The Meterological Service in Solomon Islands says there is a moderate chance of the current storm becoming a tropical cyclone by the weekend.
Director David Hiriasia says currently there is rain across the whole country and winds are picking up.
He says the depression over the Solomons is combining with another system over Fiji to create a trough.
He says both a flood advisory and a strong marine wind warning have been issued for most of the Solomons.
"We're just basically monitoring the depression and from the information we're getting now there is a moderate chance for the system to develop into a tropical cyclone probably by Saturday."
David Hiriasia says the system is moving south and gale force winds may develop near Vanuatu.