Nissan’s board held an emergency meeting at the company headquarters in Yokohama on Thursday.
The national broadcaster NHK and other Japanese media reported the decision, which emerged after hours of discussions.
However Nissan refused comment, saying it has to first inform the Tokyo Stock Exchange of its decision.
Earlier this week, alliance partner Renault voted to keep Mr Ghosn as its chief executive but appointed Thierry Bollore, the chief operating officer, as interim chief.
Tokyo prosecutors say Mr Ghosn is suspected of under-reporting 44.6 million US dollars in income from 2011 to 2015.
