The Northern Irish driver pleaded guilty to assisting illegal immigrants and obtaining criminal property when he appeared in London's Old Bailey Criminal Court on Monday (local time).
Robinson was also charged with 39 counts of manslaughter, conspiracy to traffic in human beings and money laundering, but he has not been required to enter a plea for these charges.
Prosecutor William Emlyn Jones said at the hearing that this could be a large and complex case.
Robinson has pleaded guilty to conspiring to commit crimes with others between May 1, 2018, and October 24 this year, on the grounds of assisting illegal immigrants and obtaining cash that he knows or suspects originated from criminal acts.
No trial date was set and Robinson is next due in court on December 13.