The former England manager has been in talks about taking a senior role at the club.
The oldest professional football club in the world was taken over by a Middle Eastern group, Munto Finance, last month and the talks with Eriksson are a sign of their ambition.
It is not thought Eriksson’s appointment would affect the position of current manager Ian McParland, with the 61-year-old Swede likely to have an advisory role – some reports have suggested he could be named as director of football.
Munto Finance has links with the Al Thani group, the Dubai-based investment group headed by the Qatari tycoon Abdullah bin Saeed Al Thani.
Peter Willett, a Munto Finance executive appointed as a director of Notts County, is listed as a vice-president (developments) of Al Thani investments and has been described as a “client representative” of the company.
The club’s new executive chairman Peter Trembling said last month that the takeover was “a momentous day for all those involved with Notts County”.
The new owners announced their ambition to get the club back into the Championship within five years when they completed their takeover.
The appointment would be an astonishing twist in the tale of Eriksson. He left Lazio to become England’s first foreign manager. Quarter-final exits in the 2002 World Cup and Euro 2004 followed, and he had already announced his departure before England’s disappointing 2006 World Cup campaign, again ended in the quarter-finals.
His single season as Manchester City manager, from 2007-08, should be seen as a success but he parted company with the club and was announced as the new head coach of Mexico in June last year.
That appointment turned out to be the least successful of his career and several disappointing results in their World Cup qualifying campaign led to his sacking.
Should these talks lead to an appointment at Notts County, it would certainly be the strangest move of his long career.