West Ham made an ambitious attempt to sign Torres during the January transfer window.
Responding to political journalist Iain Dale on his blog West Ham Till I Die, Hammers co-owner David Sullivan said: "We tried to get Torres from Chelsea.
"If he couldn't score in the Premier League, he could come along with us for a month. We might fire him up!"
Sullivan said Chelsea's response was blunt but did not close the door completely. "They just said, 'Not at this moment in time'."