The tropical low is currently inland around 120km south east of Darwin, around Mount Bundey training area.
There are no current cyclone or severe weather warnings affecting Darwin, but heavy rainfall and possible flash flooding is expected to continue today as a result of the tropical low.
It is tracking inland in a westerly direction towards the Arafura Sea, where it is expected to develop into a cyclone tomorrow in waters north of the Kimberley.
Rain in the north west Top End will ease this weekend.
The Bureau of Meteorology said rainfall totals of 100-150mm have been recorded in some locations including Oenpelli, Maningrida and Adelaide River, with 20-50mm widespread across the north west Top End.
This rain is a result of the tropical low and we have not experienced the 'official' onset of the monsoon yet.
"We could get severe thunderstorms that may cause damaging winds across the northern half of the Territory.
"Heavy rainfall and flash flooding is possible if thunderstorm squalls develop across the Top End. We will issue thunderstorm warnings if and when necessary this afternoon and overnight period," a spokeswoman said.