The invention relates to self-adhesive thermally crosslinkable 1-component silicone compositions which contain the components defined in claim 1(A) diorganopolysiloxane,(B) filler which is selected from filler (B1) having a specific surface area of at least 50 m<2>/g, aluminum hydroxide (B2) and mixtures thereof,(C) organohydrogenpolysiloxanes,(D) organosilcon compound having a vinyl radical, epoxy group, acroyloyloxy or methacryloyloxy group and hydrolyzable groups and(E) hydrosilylation catalyst or peroxide crosslinking agent, the Mooney viscosity of the silicone compositions, determined at 25° C. according to DIN 53523 Part 3, being 20 to 200.