A one-part polyurethane composition includes the reaction product of at least one polyether polyol PO, at least one thermoplastic polyester polyol PE, at least one hydrophobic polyol PH, and at least one polyisocyanate PI, preferably methylene diphenyl diisocyanate (MDI), wherein the composition has a remaining isocyanate content of between 0.8 and 3.5 wt.-%, preferably between 1.4 to 1.8 wt.-%, based on the total weight of the isocyanate-functional polymers comprised therein, and wherein said polyether polyol PO includes a bifunctional polyether polyol PO1 and a trifunctional polyether polyol PO2 and wherein said hydrophobic polyol PH is a polyester polyol based on fatty acids. The inventive one-component composition exhibits high green strength and long open time, as well as high storage stability. It is especially suitable as adhesive, in particular for automotive windshields and is preferably applied warm.