Torres suffered a thigh injury in training with Spain last week and was initially expected to be out for eight to 10 days, but the former Atletico Madrid man is determined to make his derby debut.
"I intend to be fit for the Everton game on Saturday. I don't want to miss out on the derby, because it is such an important game," the Reds' club-record signing told The Mirror.
Torres is now undergoing fitness work at Liverpool's Melwood training headquarters in a bid to be fit to face the Toffees.
Liverpool spokesman Ian Cotton said: "Fernando has been assessed by the club's medical staff and underwent a scan which confirmed an adductor injury. He will now undergo intensive treatment at Melwood."