The man aged in his 30s was taken to St Mary’s hospital by air ambulance after the incident on Monday morning but died later that day, it has emerged.
Firefighters released the man trapped under the back axle of waste disposal lorry on Wood Lane in White City.
The former TV BBC centre is being converted into television studios, homes and offices by Mace, which is construction manager for joint developers Stanhope and Mitsui Fudosan.