Claire Hitier-Abadie, from Westminster, was hit by near Victoria station on 19 February 2015. She died at the scene next to the Victoria Palace Theatre.
Alan Warwick, 61, from Rayleigh in Essex, pleaded guilty at Southwark Crown Court to causing death by careless and inconsiderate driving.
He is due to be sentenced on April 18 at the same court.
French national Mrs Hitier-Abadie, 36, moved from Paris to London last year with her husband Pierre.
A tipper truck driver has admitted killing a cyclist in a rush-hour crash in central London.