Buhari has asked Osinbajo to continue with running Nigeria because he needs more rest.
Buhari returned to Nigeria after a 49-day medical vacation in London.
The President had stayed back in the UK following advice from his Doctors.
The Nigerian Air Force 001 which was carrying the President, touched down at the Air Force Base in Kaduna at 7:41am on Friday.
The President was thereafter flown in a helicopter to the Presidential Villa, Abuja where he met with cabinet members and Vice President Yemi Osinbajo.
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He commended Osinbajo for doing a good job in his absence.
Osinbajo was handed the reins of leadership in an acting capacity, while Buhari was away.
Aso Villa officials have just told Pulse that the President asked Osinbajo to continue with running Nigeria while he continues with his rest.
Sources at the Presidency have told Pulse that the President's decision is in keeping with Doctor's orders.
On Osinbajo's watch, the Naira has appreciated in value, the bombings in the oil rich Niger Delta have reduced to a trickle and foreign reserves have risen.
Osinbajo has also embarked on trips to restive Niger Delta States where militants have been carrying out bombing campaigns of oil installations, something Buhari wasn't able to achieve before his vacation.