Antonio Boparan, 31, pleaded guilty to causing the death of Cerys Edwards by dangerous driving at Birmingham Crown Court yesterday, reports Birmingham Live.
Cerys was left paralysed and brain damaged after a crash in 2006.
She died one month before her 10th birthday, after the crash left her needing round-the-clock care and a ventilator to breathe.
A post-mortem examination found her death in October 2015 was as "a result of the collision".
Boparan was charged by postal requisition in December last year after a criminal case review was launched following the results of Cerys' post-mortem.
The horror crash happened in November 2006 when Boparan ploughed his £57,000 Range Rover into Cerys' parents' Jeep.
Only 19 at the time, Boparan was speeding on the wrong side of Streetly Lane in Sutton Coldfield in a powerful Range Rover Sport when the crash happened.
Boparan, heir to an £800m fortune from his parents' catering business, was doing up to 80mph on a 30mp limit road, the court was told.