Kardashian recently posted a message on his Twitter page in which he declared his excitement about starting his studies, quipping: "School just never ends for me!"
However, the school has told The Hollywood Reporter that Kardashian - who originally graduated from university in 2009 - has not yet applied to study at the institution.
A message posted on the Gould School of Law's Twitter page also read: "Rob Kardashian is not coming here, but we wish him luck at law school."
Kardashian's late father Robert, himself a lawyer, was an undergraduate at USC and also studied at the University of San Diego law school.
He became known internationally as a defence attorney for OJ Simpson's murder trial in 1995, reactivating his licence to practice law in order to join Simpson's legal team.