Dr Nasiru Idris of the All Progressives Congress (APC) and Aminu Bande, his Peoples Democratic Party (PDP) rival, are running neck and neck in the ongoing supplementary election.
Out of the 20 Local Government Areas (LGAs) where the election held, the results of five have been declared so far.
Idris, who is the President of Nigeria Union of Teachers (NUT), has so far polled a total of 4,645 votes while his PDP contender is trailing with 3,885.
This leaves a margin of 760 between the two leading candidates.
The APC Candidate was leading with 45,278 votes when the March 18 election was declared inconclusive.
Nasiru had 388,258 votes while Bande had secured 342,980 votes before the election entered into another round.
INEC has promised the people of Kebbi that they would know their new governor this weekend.