Highways England said it is taking “swift action” to carry out remedial works on the road near Amesbury.
The affected stretch is between Countess Roundabout and Cholderton which was resurfaced earlier this year at a cost of £2.5m.
Highways England project manager, Paul Vosper said: “We sincerely apologise to our customers for the disruption these additional works will cause, but it’s vitally important the surfacing on this busy main route is replaced quickly to ensure safe and reliable journeys for many years to come.
“Leaving the surface in place for any longer than necessary could possibly lead to further unplanned problems in the future and further disruption.
“Our suppliers recognise the issues and are working at their own expense to ensure the road is repaired and will provide trouble free use for many years to come.”
Remedial work starts next week and will continues until Thursday 18 July.