Rochester-based Lawtech has signed a pre-construction deal to design and reclad the 14-storey Adair and Hazelwood Towers, close to Grenfell.
The project is expected to be worth up to £7m and will involve the installation of non-combustible classification weather-screening.
Render and wall insulation was removed from the blocks in November 2018 after the expanded polystyrene system was deemed a fire risk by consultant Turner + Townsend following the Grenfell disaster.
The cladding on the blocks, which were built in 1958, was installed in 1992 and 1993.