A transistor device includes at least one transistor cell, having, in a semiconductor body, a source region of a first doping type in a body region of a second doping type, a drain region, and a drift region of the first doping type adjoining the body region and arranged between the body region and the drain region. A low-resistance region of the second doping type in the body region adjoins the source region. A gate electrode dielectrically insulated from the source and body regions by a gate dielectric is arranged above a first surface of the semiconductor body. A length of an overlap between the source region and the gate electrode is larger than 70 nanometers. A doping profile of the low-resistance region along a line that is vertical to the first surface and goes through an edge of the gate electrode has a maximum of higher than 1E19 cm−3.