The system is now expected to possibly intensify into a category one cyclone later today.
At least ten families were evacuated in Navosai overnight after flood waters entered their homes.
A main highway in the capital Suva has been blocked by a landslide, and some powerlines have fallen due to strong winds.
Fiji's power authority said technicians were looking into the issue and there was no time frame on when power would be restored in the affected areas.
Fiji Village reported the National Emergency Operation Centre confirmed that two evacuation centers had been opened in the central division.
The Director of the Meteorology Service Ravin Kumar said TD04F would maintain its intensity as it moved southwest.
He added that the centre of the depression was suspected to remain to the west of Fiji and not cross the group.
However, a heavy rain warning remains in force for the whole of the Fiji group and this is coupled with a flood alert for low lying areas and flood prone areas.
"A trough of low pressure and active rain bands will continue to affect the country through the weekend, so be prepared for more rain," Mr Kumar said.
The depression comes as Fiji continues the recovery from Cyclone Winston last February, with some communities still living in tents.
Photo by Fiji Vilage