Former Chelsea boss Graham Potter is a confirmed target for the Swedish FA.
With Janne Andersson stepping down, former Ostersunds coach Potter is on the shortlist of potential replacements.
SvFF's new general secretary Andrea Möllerberg told TV4: "You can say this: The list that is on names and that I have been sent to me or that I am reading... it is clear that he is part of that list.
"We'll see what we filter down and who is interested in this role. You probably have to be passionate about wanting to be the national team coach, especially given that it is different from club football.
"You may have to be ready with certain parts."