New aerial footage shows the demolition of Arley and Compton Court in Netherton is well on track.
The demolition of the two blocks will make way for new housing.
Arley Court has already been brought down the ground level, while only nine floors are still standing at Compton Court.
WATCH drone footage of the demolition:
Work will continue to tear down the blocks during the second national coronavirus lockdown.
Dudley Council appointed contractors earlier this year to begin the demolition at the two blocks.
While the demolition of neighbouring Wells and Manor Court is expected to start in the coming weeks.
New housing developments will be built in their place.
Councillor Laura Taylor, Dudley Council's cabinet member for housing and community services, said: “I’m really pleased the demolition of Arley and Compton flats is on track and workers can remain on site over the next few weeks as permitted under the government’s latest coronavirus guidelines.
“Both blocks have already been stripped out and a special high-reaching machine has been on site taking the blocks down a floor at a time.
"Arley Court is already down to ground floor level and only nine floors are still standing at Compton, which is also expected to be down to ground floor level by the end of next week.
“Contractors will begin sorting the materials ready to be recycled for use on other housing developments and we expect the site clearance to be finished at the start of next year.”