Mr Farage said he would stay on as an MEP for the next two years in order to ensure Brexit stayed on course.
He also said he may travel Europe helping other political parties lead their countries to quit the EU.
Asked about his potential involvement, he said: “I might have something to give if they want it. If they don’t that’s fine.”
Mr Farage resigned once before after the 2015 General Election, only to take up the leadership once again after claiming people in the party urged him to stay.
His U-turn last year led to internal divisions which saw a cull of top figures including rivals, Suzanne Evans and Patrick O’Flynn, who may not re-emerge.
Deputy Leader Paul Nuttall and Immigration Spokesman Steven Woolfe, who also played prominent roles in the referendum campaign, are seen as a potential runners.
The party’s executive was due to meet today to get the leadership process underway, with a new leader expected to be in place by the party’s September conference.
Last week he clashed with European Commission President Jean-Claude Juncker as he celebrated the referendum result with a provocative victory speech in front of stunned MEPs.
Mr Farage was a founding member of Ukip in 1993, having previoiusly been a member of the Conservatives. He was elected to the European Parliament in 1999 and became Ukip leader in 2006.
