"High waves in the range of 3.0-3.5 metres are predicted along Kolachal to Kilakarai of Southern Tamil Nadu," the centre, which comes under the Ministry of Earth Sciences, said on its website.
The prediction is for the duration between today and till 23:30 hours on June 12.
Current speeds vary between 71-92 cm/sec, it said under the "Indian Ocean Forecast System" predictions on its site.
"Fishermen are advised to be cautious while venturing into the sea," it said.
Similar warnings have been given for states, including Karnataka and Kerala.
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