The cyclone has pulling a circuit in the ocean to the country's northwest for a day, and is now not expected to reach the second-biggest island, Vanua Levu, until late tomorrow.
Mona has winds as high as 100 km/hr at its centre, although the authorities are concerned about the volume of rain it will bring.
This afternoon, it was about 380km north-northwest of Yasa-i-Rara, or about 460km northwest of Labasa, the main town on Vanua Levu.