Drive assembly for a motor vehicle, comprising: - a housing having an engine compartment and a transmission compartment which adjoins the engine compartment and is delimited therefrom by means of an inner bulkhead, and which is in each case delimited by said inner bulkhead, an associated outer bulkhead (20, 22) and a casing wall (24, 26) extending in the axial direction between the inner and the associated outer bulkhead (18; 20, 22), - an electrical machine which is arranged in the engine compartment and has a stator which is fastened to the housing and a rotor which is arranged radially within the stator and has a rotor shaft which passes through the inner bulkhead and is rotatably mounted in the engine compartment, and - a transmission which is arranged in the transmission compartment and has an input pinion which is fixed on the rotor shaft, which here acts as a drive shaft, and an output wheel which is or can be connected to a drive, and - an oil reservoir from which oil can be conducted, for the purpose of cooling, via an oil supply system to the electrical machine, in particular to the rotor shaft, and from there via an oil discharge system back into the oil reservoir, the casing wall of the engine compartment comprising a cooling water jacket surrounding the stator along its circumference for additional cooling of the electrical machine, and at least a portion of the oil reservoir being designed as an oil chamber arranged below the engine compartment, the upper side of which oil chamber is thermally coupled to the cooling water jacket, and one engine compartment outlet, which opens into the oil chamber, being arranged in each of the axial end regions of the engine compartment close to the bulkhead, characterized in that, the oil chamber is designed as a labyrinth space and a cover space is arranged axially adjacently to the outer bulkhead of the engine compartment, which cover space is connected to the labyrinth space via a labyrinth space overflow, an engine compartment overflow being located in the outer bulkhead, via which oil can pass from the engine compartment into the cover space and which is arranged higher than the engine compartment outlets. - a housing having an engine compartment and a transmission compartment which adjoins the engine compartment and is delimited therefrom by means of an inner bulkhead, and which is in each case delimited by said inner bulkhead, an associated outer bulkhead (20, 22) and a casing wall (24, 26) extending in the axial direction between the inner and the associated outer bulkhead (18; 20, 22), - an electrical machine which is arranged in the engine compartment and has a stator which is fastened to the housing and a rotor which is arranged radially within the stator and has a rotor shaft which passes through the inner bulkhead and is rotatably mounted in the engine compartment, and - a transmission which is arranged in the transmission compartment and has an input pinion which is fixed on the rotor shaft, which here acts as a drive shaft, and an output wheel which is or can be connected to a drive, and - an oil reservoir from which oil can be conducted, for the purpose of cooling, via an oil supply system to the electrical machine, in particular to the rotor shaft, and from there via an oil discharge system back into the oil reservoir, the casing wall of the engine compartment comprising a cooling water jacket surrounding the stator along its circumference for additional cooling of the electrical machine, and at least a portion of the oil reservoir being designed as an oil chamber arranged below the engine compartment, the upper side of which oil chamber is thermally coupled to the cooling water jacket, and one engine compartment outlet, which opens into the oil chamber, being arranged in each of the axial end regions of the engine compartment close to the bulkhead, characterized in that, the oil chamber is designed as a labyrinth space and a cover space is arranged axially adjacently to the outer bulkhead of the engine compartment, which cover space is connected to the labyrinth space via a labyrinth space overflow, an engine compartment overflow being located in the outer bulkhead, via which oil can pass from the engine compartment into the cover space and which is arranged higher than the engine compartment outlets.