He was accompanied by his running mate, Senator Kassim Shetimma and five APC Governors.
The brief meeting, which held at the residence of former President, gave the leaders the opportunity to discuss various national issues and the forthcoming general election.
Details of their meeting were not made public.
Breezing out of the meeting Asiwaju simply said he was on a courtesy visit to the former President as a leader and one of the critical stakeholders in the Nigerian project.
He also said he told him of his presidential ambition and sought the support of his host.
Those on the entourage of Tinubu include his running mate, Shetimma, the Director-General of his campaign council Governor Simon Lalong; Ogun Governor Dapo Abiodun; Zamfara Governor. Bello Matawale; Jigawa Governor Abubakar Badaru and their Kwara counterpart AbdulRahman AbdulRazaq.
A source at the meeting said the meeting was part of efforts by the APC standard bearer to get the buying in of all critical stakeholders to his presidential ambition.
The source sias: “Truly, he (Jonathan) is at home with us. He was very receptive to us. You know the Peoples Democratic Party (PDP) no longer accorded him that respect. He is more comfortable with us. He was happy that Asiwaju visited him. He is at home with his aspirations.”