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.

Guernsey FC receives financial support from local entrepreneurs
Guernsey footballer Alex Scott called up to England squad
Guernsey's skin cancer rates higher than England
Guernsey ambulance subscriptions to increase by 1p a day
Deputies approve Guernsey's budget, with amendments
Thousands for Guernsey and Jersey schools to boost active travel
Personal reasons prompt Guernsey Deputy’s departure from ESC
New Aurigny aircraft flies into Alderney