The planning application said the seasonal structure had been operational since 2014.
It said in that time it had been damaged three times, with a fire in a ventilation unit in 2019, the Grand Vaux floods in February 2023 and Storm Ciaran in November 2023.
Insurers had indicated that policy cover was unlikely to be renewed, it said.
It said the proposed plan would be insurable, with reduced operational costs and was to be maintained by local resources.
The size of the new structure would be fixed by guidelines from the Lawn Tennis Association.
It would be 61m x 36m and reach the same height of 10m (32.8 ft) as the previous structure.