Hoddle managed England at the 1998 World Cup, where they reached the last 16 before being knocked out on penalties by Argentina, who are Nigeria's first opponents at the 2010 World Cup.
Eriksson led England at the 2002 and 2006 finals, and was most recently employed as director of football at Notts County.
Nigeria Football Federation spokesman Ademola Olajire said: 'We have five candidates and Glenn Hoddle is one of them. He took his turn (for interview) yesterday and we will make a decision tomorrow (Friday) evening.'
Olajire confirmed Eriksson among the names of the four other candidates.
Big stage: Hoddle (left) and Eriksson are in with a shout of being at the World Cup
Eriksson's representative Athole Still confirmed the Swede had met with the NFF today and that they plan to stay in Nigeria until Saturday morning.
'We've looked around and studied all the potential of Nigeria,' said Still. 'Sven met with the federation today. It was a general discussion rather than an interview I would say. We will see what happens.'
Still said the NFF have not discussed the terms they are prepared to offer to the new coach, so it is unclear whether they are just looking for someone to lead the team in South Africa or for a more long-term appointment.
Eriksson, who coached Mexico during the qualifying stages of the 2010 World Cup, would relish a third crack at the World Cup after reaching the quarter-finals twice with England.
Still added: 'The clear big attraction at this present moment is the World Cup, but also, if it went beyond that, there is the attraction of a country that has a population of almost 150 million and has hundreds of thousands of young players.'
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