Rashford is on-loan at Barca from Manchester United, with his deal carrying a €30m permanent option.
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However, ESPN says Barca need a major sale to fund the Rashford deal and are now ready to transfer-list Torres in order to keep hold of the England international.
Despite Torres' impact under coach Hansi Flick, it's claimed Barca management would be happier keeping hold of Rashford in a straight choice this summer.
Torres joined Barca from Manchester City in 2022 and has impressed over the past almost four years. However, with his deal running to 2027, Barca are wary this summer could be the right time to sell the 26 year-old.