Abstract: Described is an electrical machine (1, 1a) which comprises a first end shield (6, 6a) and a second end shield (7, 7a), a stator (5) which is arranged between the two end shields (6, 6a, 7, 7a) and has a stator laminated core (10) and stator windings (11) arranged therein, and a rotor (3) which is arranged in the stator (5) and has a rotor shaft (2, 2a) mounted rotatably in the two end shields (6, 6a, 7, 7a). The electrical machine (1, 1a) furthermore comprises a stator casing (8, 8a) which is arranged circumferentially around the stator (5) and which is mounted on the two end shields (6, 6a, 7, 7a) and which is spaced apart from the stator (5) at all points. Also specified is a vehicle (15) having an electrical machine (1, 1a) of said type.