Johnson is keen to leave City in order to get regular first-team football.
The 25-year-old has also been linked with the likes of Sunderland, Spurs and Everton.
But the Independent reports that Liverpool have emerged as favourites to land the highly-rated England international.
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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.