Eriksson departed Leicester City last month, but could be back in the game with Rovers who are struggling in the bottom three of the Barclays Premier League.
The club's Indian owners Venky's would see Eriksson as having the necessary high-profile to take the club forward and could also see him as the solution to replace current boss Steve Kean, should the Rovers' fortunes fail to improve, according to reports in the Sunday Mirror.
Back in the game: Eriksson could be making a swift return to football
Eriksson, 63, has made no secret of his desire to manage in the Premier League again, three years after leaving Manchester City by mutual consent.
Leicester were among the favourites to win promotion to the top-flight this season after splashing big money in the summer, but he was sacked by Leicester last month after an inconsistent start.
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