The works at Strathaven are part of the council's £126 million Roads Investment Programme.
Previously, the project had been scheduled to take place between 13 – 19 June.
However, due to the schemes impact on bus services used by school children, the week-long programme will now get underway on 25 July.
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Cllr Chris Thompson said: "These works are essential to improve the road surface on a longer-term basis and we always try and deliver works with minimal disruption.
"However in the last few days, after being approached about the issue by a local councillor, we have been made aware of the likely impact of the closure on children travelling to and from school.
"While the works cannot be carried out without some inconvenience to road users, in light of this potential impact on school children, we have now reviewed our works programme and identified a period in July where the A71 works can be completed."
Resurfacing on the A71 will now follow planned works on the A726 Strathaven/East Kilbride Road, which will begin at 7am on Monday, 18 July.
Diversions will be in place.
(LM)
