President Bola Tinubu and the G5 met on Thursday in Abuja, according to Oyo State Governor Seyi Makinde.
The Peoples Democratic Party (PDP) leaders, better known as the Integrity Group, paid the President a visit at the White House.
Former governors Okezie Ikpeazu (Abia), Samuel Ortom (Benue), Ifeanyi Ugwuanyi (Enugu), and Nyesom Wike (Rivers) were part of the group.
Makinde told reporters that the discussion was focused on nation-building, which he claimed necessitated assessment and consultation.
"Building a nation is a challenging task. You must continue to assess. To keep the President informed of what is happening, we must keep meeting him.
"The Integrity Group, the G-5, came to let the President know what we stand for: fairness, justice, and equity," he added.
Wike and the Oyo helmsman have already had two meetings at the Presidential Villa this week with Tinubu.
The G5 was established after Atiku Abubakar, a former vice president, became the PDP's presidential candidate in May of last year, .