The extra funding is on top of £600,000 more for roads announced in May.
Among the first to benefit are regular users of the B4295 at Penclawdd where resurfacing work of a stretch near Pont-y-Cob Road is due to be resurfaced.
Andrew Stevens, Cabinet Member for Environment and Infrastructure, said: "In March, we approved a significant amount of our annual budget towards highway repairs for 2024/25.
"Roads earmarked for repairs during the next twelve months have been prioritised as part of our rolling five-year highway asset programme.
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"The extra money we have now approved will take the investment on Highways infrastructure for this year to more than £8.1m and will ensure we can also deal with roads damaged by wet weather and also dedicate more money to creating drop-kerbs where necessary."
He added: "This extra investment is part of our commitment to keeping Swansea on the move. Road improvements support residents to get out and about while at the same time boost the local economy and regeneration in our city."
The programme of extra improvements is being finalised now and will be in addition to more than nine kilometres of road fully resurfaced last year, including Pentrepoeth Road, Morriston, and Gorwydd Road, Gowerton.
More than 7,500 potholes were also filled in 2023/24 with almost all of them repaired within the 48hr repair pledge made by the Council.
Some of the overall budget for 2024/25 has already been put to good use with a number of key routes in the city benefitting from full resurfacing work. Roads include Cockett Road, Llwynmawr Road - Tycoch and a section of the A483 Penllergaer.
