Rust debris has begun falling from the structure, meaning passengers are using an alternative entrance to the terminal building.
The problem became apparent during the afternoon of 21 August.
Passengers on inbound Aurigny flights are instead having to use the entrance set up to keep social distancing during the pandemic.
The concrete legged control tower is several decades old and has a number of steel elements to it.
An engineering inspection will take place today, 22 August.
Work was due to be underway by now on the complete refurbishment of the airport, including lengthening the runway.
But it has been paused, after it came in £13M over budget.
More affordable alternatives are being considered.

Le Tocq should resign as a Guernsey deputy says Lindsay de Sausmarez
L'Ecume II: Lewis Carr jailed for 20 months for fatal collision at sea
Guernsey's former Chief Minister admits making indecent images of children
Guernsey Deputy and wife arrested and questioned by police
Guernsey Post expect to deliver 750,000 parcels this Christmas
Alderney to get a Royal Visit on 15 December
Two airlines bid to operate Guernsey's essential air links
Guernsey overtakes Jersey as top Channel Island for UK Sea Travel