The production of SiOC-bonded, linear polydimethylsiloxane-polyoxyalkylene block copolymers comprising repeating (AB) units by reaction of polyether diols with trifluoromethanesulfonic acid-acidified, equilibrated α,ω-diacetoxypolydimethylsiloxanes is described, wherein the reaction is undertaken by adding a solid, liquid or gaseous base, optionally using inert solvents.