Anne Sacoolas was given a suspended sentence in 2022 after pleading guilty to causing death by careless driving.
The base is currently a United States Air Force communications station and headquarters of the 422d Air Base Group.
In the letter,, external Abigail Jeffs from the base said residents of villages in the area “may notice some increased noise levels and a slight rise in traffic”.
It said the base would do its best to minimise any disruption.
It added the majority of the contractors would use the main entrance on the B4031 but some large vehicles, such as cranes, would use the emergency exit on the A43.
