Aadil Sabir admits killing one passenger and injuring two others when he crashed and flipped on the M4.
The work, affecting junctions 10 and 11, will take place over the weekend of 18 September.
The cars have been seized and officers are compiling reports relating to a number of offences.
Fire crews are called to the westbound M4 between junctions 12 and 13 in Berkshire.
The M4 in Berkshire will be inaccessible between junctions 10 and 11 over a weekend in September.
The man was hit by the HGV in the eastbound lane of the M4 near Membury Services in West Berkshire.
Moto will need to secure further approval for the site before it can start work on the facility.
Thames Valley Police says the car was seen "swerving" between lanes on the M4 and was not insured.
There were major delays on the M4 as firefighters worked to extinguish a fire on 10 to 15 tonnes of hay.