The 28-year-old has one year left on his contract at Rangers and is expected to leave the Scottish side this summer.
The Sun reports that Eriksson is also keeping tabs on Bristol City striker Nicky Maynard.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.