Almost half of the stones needed to strengthen the wall are in place and smaller rocks will be used in the coming weeks to complete the job.
Barges were on the river at the site close to the Kingston Bridge to allow engineers to carry out the repair work.
The walkway along the north bank of the river was closed to the public following the collapse of a 150-metre stretch in March this year and has remained shut since then.
Residents reported damaged bollards and paving a week before the path collapsed and the route was closed off for safety reasons.
The path was closed from the western side of the Kingston Bridge to the riverside homes at Anderston Quay after it subsided into the river.
Last month the council was still unable to confirm how long it would take to repair until the full extent of the damage was assessed, but can now confirm it is expected to be completed in the next month.
The walkway is popular with walkers, runners and cyclists and forms part of the cycle route from the Riverside Museum and the SECC to the city centre.
To start the repair job, engineers built up a mound of stone in the river to provide a firm foundation for the extensive repair work.
Work to rebuild the quay wall then took place.
Dramatic pictures of the collapse showed the walkway, grass verge safety barrier and foundations had slipped into the river.
Following the collapse, River Clyde rescuer George Parsonage identified other at-risk sections of the quay walls.
The veteran Glasgow Humane Society rescuer notified the council of potential damage at nearby Lancefield Quay and at Glasgow Bridge at Jamaica Street.
A spokesman for Glasgow City Council said: "Work on the quay wall is likely to be completed by the end of next month.
"Two barges are currently on-site, with 40% of the stone already in place. This will be completed with a smaller rock finish."
Further down river, at the SECC, work is also progressing on a £2 million upgrade to Bell's Bridge.
The swing bridge was built in 1988 for the Garden Festival.
It was originally planned that the bridge would be removed after the festival but having become popular with pedestrians and cyclists the link was retained.
The bridge was adopted from Scottish Enterprise by Glasgow City Council in 2012. As part of that process, Scottish Enterprise is funding the refurbishment of the Clyde link.
The work includes repainting of all the steelwork, refurbishing of the mechanical and electrical components of the bridge and installation of new parapets and canopy plus the construction of new approach ramps.
Work started on site in March this year and is expected to finish in late autumn.