Silicone rubber composition comprising an alkenyl-substituted diorganopolysiloxane, an inorganic filler, an organopolysiloxane that contains at least two silicon-bonded hydrogen atoms in each molecule, in a quantity that affords a value from 0.4 to 10 for the molar ratio of silicon-bonded hydrogen in the organopolysiloxane to alkenyl groups in the alkenyl-substituted diorganopolysiloxane, an organohydrogenpolysiloxane, in a quantity that affords a value from 0.01 to 0.5 for the molar ratio of silicon-bonded hydrogen in this component to alkenyl groups in the alkenyl-substituted diorganopolysiloxane, and a platinum catalyst. A fluororesin-covered fixing roll in which a fluororesin layer is placed over the circumference of a roll shaft with a silicone rubber layer interposed between the fluororesin layer and the roll shaft, wherein said silicone rubber composition is formed by curing the silicone rubber composition described above.