The death toll due to the cyclone has risen to 14 in the state.
Odisha Chief Minister Naveen Patnaik is scheduled to make an aerial survey of the affected districts on November 11 afternoon,
The system is likely to weaken gradually after landfall as a severe cyclonic storm with a maximum sustained speed of 110 to 120 kilometre per hour with gusts up to 135 kmph, the Met department said in Kolkata.
Incessant rain since the early hours of Saturday has left parts of Kolkata and its adjoining suburbs with waterlogged streets and overflowing drains, leading to traffic congestion during busy office hours.
"The peak hour of the cyclone is expected from 10 PM Saturday until 4 AM Sunday. All the passengers of the affected domestic flights are being notified and alternate arrangements being offered,"the low-cost carrier said in a statement.
She appealed to citizens to maintain calm and not to panic.
The team of Commandant Deepak Singh, Coast Guard, Haldia, is also keeping a close watch on the situation.
The meeting of the NCMC, headed by Cabinet Secretary Rajiv Gauba, was informed by the India Meteorological Department (IMD) that the cyclone has now intensified and is likely to cross the West Bengal coast by Saturday evening.
The Met department in the two states said the cyclone is likely to make landfall between West Bengal and Bangladesh in the early hours of November 10, bringing in its wake heavy rain and gusts of up to 135 kmph in the coastal areas.