He announced this while addressing journalists in Katsina on Sunday, according to a presidential aide, Buhari Sallau.
Recall that Tinubu reportedly held a private meeting with President Muhammadu Buhari on Sunday.
Governor Aminu Masari of Katsina State was also at the closed-door meeting, which was held at the Daura private residence of the President.
A member of Tinubu Campaign Organization who requested anonymity hinted to the News Agency of Nigeria (NAN) on Sunday in Abuja that the APC candidate has chosen a running mate.
The source said Tinubu would make the name of the candidate public this week.
“The vice-presidential nominee may most likely be a former governor and senator from the northeast of Nigeria.
“The person is also by accident of birth a Muslim, confirming what Gov. Abdullahi Ganduje of Kano State said on Saturday that Tinubu had settled for a Muslim-Muslim ticket,’’ the source said.