The meeting is taking place hours after Vice President Yemi Osinbajo declared his interest in the 2023 presidency.
Osinbajo had earlier met with some of the governors on the evening of Sunday, April 10, 2022, to inform them about his presidential ambition.
About 17 governors attended the meeting with Tinubu, who announced his interest in ruling the country in January.
The governors that attended the meeting include Governors Abubakar Bagudu of Kebbi State, Nasir El-Rufai of Kaduna State, Bababjide Sanwo-Olu of Lagos, Abdullahi Ganduje of Kano, Gboyega Oyetola of Osun, Mai Mala Binu of Yobe, Simon Lalong of Plateau, Abubakar Badaru of Jigawa, Dapo Abiodun of Ogun amongst others.
Announcing the development on Twitter, the Chief Press Secretary to Governor Sanwo-Olu of Lagos State, Gboyega Akosile said the governors held a crucial meeting with Tinubu.