The area of low pressure could become a tropical cyclone in the next day or two, according to Accuweather meteorologists.
Depending on where the cyclone develops, the weather system could be named by either the Australian Bureau of Meteorology or the Fiji Meteorological Service and would be named Owen or Liua.
Regardless of tropical developments, the low pressure will bring heavy downpours and the risk of flash flooding to the Solomon Islands.
The islands have already begun experiencing thunderstorms over the past few days, and these will only increase.
So far rainfall has only totalled up to one inch.
However, some localised amounts up to five inches have been reported.
Additional downpours will bring the risk of flash flooding in the coming days.
Gusty winds could result in tree damage and power outages across the islands.
As the tropical disturbance becomes better organised, it will drift slowly southeast through Thursday, bringing continued downpours to the same areas.
A turn toward the west is expected late this week into this weekend, then the tropical threat will weaken.
The tropical threat will remain several hundred miles north and west of Vanuatu and New Caledonia.
However, tropical moisture streaming into the area will produce passing showers and downpours across the islands of both countries into Friday.
The South Pacific Tropical season officially runs from November 1 to April 30.
The last South Pacific Tropical season of 2017/18 was slightly below average, producing six tropical cyclones.
Three of these became severe tropical cyclones, resulting in 11 fatalities.
Within the Southern Pacific a tropical depression is considered a tropical cyclone if it reach winds of 40 mph.
This is similar to the Atlantic season, when tropical cyclones over 39mph are named and called tropical storms.
The most intense storm to strike was Severe Tropical Cyclone Gita, which formed on February 3, 2018 and packed winds of 125mph.
Tonga was the hardest hit by Gita, with two fatalities and 11 homes destroyed.
Severe Tropical Cyclone Hola was less powerful at 105mph, but even more deadly, claiming three lives in Vanuatu.
The other six deaths from the 2017-2018 season occurred between Vanuatu, Tonga and Fiji, and were a result of Tropical Cyclone Josie.