The decision to issue the alert was taken at a meeting chaired by Chief Minister Pinarayi Vijayan here, an official release said.
The low pressure was likely to intensify into a depression, the Met office said.
The state government alert comes in the backdrop of Ochki cyclone that hit the coasts of the state, neighbouring Tamil Nadu and union territory of Lakshadweep in November-December last year, claiming the lives of several fishermen and leaving many missing.
The meeting today expressed satisfaction over the steps taken so far to face any situation in the event of any disaster, a release from the Chief Minister's Office said.
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Vijayan directed the concerned authorities to ensure that fishermen from deep sea were brought back to shore.
Officials said services of the Navy and Coast Guard had been sought to bring back the fishermen from deep sea.
It is very likely to move initially west-northwestwards and then northwestwards and concentrate into a depression over the southeast Arabian Sea (Maldives area) during the next 36 hours.