But Blues skipper John Terry is dismissing such links.
Apart from international medals, Torres has never won a major domestic trophy, compared with Shevchenko, something Terry feels is a major difference.
"That kind of talk is unfair to Nando," Terry told the London Evening Standard.
"Right now we are all 85-90 per cent with our fitness, and so is he, but we will keep on working. Naturally, there is pressure on him but he can deal with it. He is one of the best strikers in the world, after all."
"He is hungry. He wants to win the Premier League and that was the first thing he spoke about when he joined us in January.
"It was something he couldn't do at Liverpool and the hunger remains with him just as much as it remains with me to win that trophy.
"After he joined us he would ideally have liked more goals than he scored.”