The Swedish Football Association have confirmed that Sven Goran Eriksson and Roy Hodgson are on a shortlist to replace Lars Lagerback.
The organisation's chairman Lars-Ake Lagrell announced earlier on Monday that he would be interested in talking to Notts County director of football Eriksson.
It is understood the League Two club would not stand in the way of Eriksson taking the role, which was left vacant when Lagerback quit after failing to guide Sweden to the World Cup.
Jonas Nystedt, head of communications at the Swedish FA, has now revealed that Eriksson is one of a number of options being explored.
Fulham manager Hodgson is another possible candidate, although he insisted last week he was happy at Craven Cottage.
"Last Thursday, after the Albania game, the board had a meeting and discussed what route should be taken," Nystedt told Sky Sports News.
"Things that were discussed were, obviously, who it should possibly be, their education and career, reputation and location and things like that.
"There is a special list of five to 10 names and Sven Goran Eriksson is on that list.
"What the Swedish FA did over the weekend was to contact a lot of these people, not just Sven Goran Eriksson but a lot of people.
"We asked them what their situation was - like what it says in their contract with their club - and whether they were interested in the job.
"Sven Goran Eriksson has been contacted but he is only one person on the list. Obviously the rules stipulate that we would have to discuss with Notts County the situation regarding Sven Goran Eriksson in more depth.
"Roy (Hodgson) is also part of the Swedish football family. I think that he is on the list, but there are also Swedish names and European names on the list.
"So you will have to wait and see."
Sweden are keen to get a new man in place ahead of a pair of friendlies next month but Nystedt admits they may have to wait if they decide they want Eriksson, with the prospect of the 61-year-old splitting roles likely to be discussed.
"That (splitting the role) is one decision that they will have to take," Nystedt said.
"You look at the past we have had full-time coaches for Sweden, but I don't know what their decision will be.
"We will have to wait and see what comes from the negotiation, if even it gets to a point where there are negotiations with Sven Goran.
"I have heard the president say that it could be done very quickly or it could take some time.
"That will depend on the name they pick. We play some friendlies in November and it would be nice if the new coach takes control of these games.
"But it is the group's job to answer that question."