A moisture-curable composition, including at least one polymer P containing reactive silane groups; between 0.1 and 5 wt.-%, based on the total composition, of at least one organosilane OS of the formula (I), wherein R20 independently stands for a monovalent, optionally cyclic or branched, hydrocarbyl or heterocarbyl radical, optionally comprising aromatic moieties, which contains 1 to 12 carbon atoms and wherein the carbon atom next to the silicon atom either bonds via a C═C double bond to another carbon atom or bonds to a heteroatom selected from O, N, and S; R21 independently stands for a linear, cyclic, or branched divalent hydrocarbyl radical having 2 to 12 carbon atoms and optionally containing aromatic moieties; R22 stands for a hydrogen atom or a group of the formula (Ia); characterized in that the curable composition does not contain catalytically active organometallic or acidic compounds.