Tinubu, in a statement by his spokesperson, Tunde Rahman, in Lagos, also urged Adeleke to move quickly to unite Osun.
The President-elect said with the Supreme Court verdict on the Osun Gubernatorial tussle, all must respect the judgment.
He also commended the immediate-past governor of Osun, Adegboyega Oyetola, for discharging himself creditably during his first term.