A process for producing an alkoxyalkylsilane-modified polysiloxane of the following general formula P: in which, independently of one another: R 1 represents an oxime radical of formula -O-N=C=R 7, wherein R 7 is a linear hydrocarbon radical with 4 carbon atoms, or a cyclic hydrocarbon radical with 6 carbon atoms, or represents OR 5, wherein R 5 is a hydrogen atom or a linear or branched, saturated or unsaturated, optionally substituted hydrocarbon radical with 1 to 8 carbon atoms, in particular, R 5 represents a monovalent hydrocarbon radical with 1 or 2 carbon atoms; R 2 is R 1; R 3 is R 1 or a monovalent SiC-bonded saturated hydrocarbon radical with 1 to 8 carbon atoms, or a hydrocarbon radical with a terminal carbon-carbon double bond with 2 carbon atoms; R 4 is an aliphatic hydrocarbon radical with 1 to 30 carbon atoms, a phenyl radical, and/or a polyether radical of general formula (CH 2) 3 O(C 2 H 4 O) w (C 3 H 6 O) x (C 4 H 8 O) y Q, in which w, x, y are independently the same or different and respectively represent a number from 0 to 50; and Q represents a hydrogen atom or an aliphatic hydrocarbon radical with 1 to 4 carbon atoms; Z is a monovalent SiC-bonded saturated hydrocarbon radical with 2 carbon atoms; m is an integer of from 1 to 200, especially from 1 to 100, especially from 1 to 50; n is an integer of from 1 to 1000, especially from 1 to 500, especially from 1 to 200; o is an integer of from 0 to 50, especially from 0 to 20, especially from 0 to 10; p is an integer of from 1 to 50, especially from 1 to 20, especially from 1 to 10; and q is an integer of from 1 to 50, especially from 1 to 20, especially from 1 to 10; wherein in said process a first organosiloxane (a) with two or more terminal aliphatic unsaturated reactive groups and a second organosiloxane (b) with at least one reactive Si-H group are contacted with one another in the presence of an alkoxyvinylsilane (c) having a terminal aliphatic unsaturated reactive group. R 1 represents an oxime radical of formula -O-N=C=R 7, wherein R 7 is a linear hydrocarbon radical with 4 carbon atoms, or a cyclic hydrocarbon radical with 6 carbon atoms, or represents OR 5, wherein R 5 is a hydrogen atom or a linear or branched, saturated or unsaturated, optionally substituted hydrocarbon radical with 1 to 8 carbon atoms, in particular, R 5 represents a monovalent hydrocarbon radical with 1 or 2 carbon atoms; R 2 is R 1; R 3 is R 1 or a monovalent SiC-bonded saturated hydrocarbon radical with 1 to 8 carbon atoms, or a hydrocarbon radical with a terminal carbon-carbon double bond with 2 carbon atoms; R 4 is an aliphatic hydrocarbon radical with 1 to 30 carbon atoms, a phenyl radical, and/or a polyether radical of general formula (CH 2) 3 O(C 2 H 4 O) w (C 3 H 6 O) x (C 4 H 8 O) y Q, in which w, x, y are independently the same or different and respectively represent a number from 0 to 50; and Q represents a hydrogen atom or an aliphatic hydrocarbon radical with 1 to 4 carbon atoms; Z is a monovalent SiC-bonded saturated hydrocarbon radical with 2 carbon atoms; m is an integer of from 1 to 200, especially from 1 to 100, especially from 1 to 50; n is an integer of from 1 to 1000, especially from 1 to 500, especially from 1 to 200; o is an integer of from 0 to 50, especially from 0 to 20, especially from 0 to 10; p is an integer of from 1 to 50, especially from 1 to 20, especially from 1 to 10; and q is an integer of from 1 to 50, especially from 1 to 20, especially from 1 to 10;