Bielsa has reportedly approved a one year contract from Leeds, with an option of a further year.
The out of work manager is claimed to have given Leeds a draft of his demands, with the Whites needing to agree to them to move the situation on.
Leeds negotiations with Bielsa were first reported by El Correo a fortnight ago.
A revelation from The Telegraph later claimed Leeds approached Bielsa first last December.
Famed as a tactical innovator, Bielsa won titles in Argentina as well as plaudits as international manager with Argentina and Chile.
At club level since then he has has a patchy record since leaving Athletic Bilbao, which means he is far from a guaranteed success.