Disclosed is a method of forming a semiconductor structure that includes one or more fin-type field effect transistors (FINFETs) and single-diffusion break (SDB) type isolation regions that are within a semiconductor fin and that define the active device region(s) for the FINFET(s). The isolation regions are formed so that they include a semiconductor liner. The semiconductor liner ensures that, when a source/drain recess is formed immediately adjacent to the isolation region, the bottom and opposing sides of the source/drain recess will have semiconductor surfaces onto which epitaxial semiconductor material for a source/drain region is grown. As a result, the angle of the top surface of the source/drain region relative to the top surface of the semiconductor fin is minimized. Thus, the risk that a subsequently formed source/drain contact will not reach the source/drain region is also minimized. Also disclosed is a semiconductor structure formed according to the method.