A domestic appliance has a housing, a transceiver unit and an electrically non-conductive covering. The housing delimits an interior accessible via a housing opening and has a frame which edges the housing opening. The transceiver unit contains an antenna for wirelessly receiving and transmitting signals. The domestic appliance has a door leaf, which is mounted pivotably relative to the housing and is provided to open and close the interior, or a drawer, which can be pulled partially out of the interior and has a front panel which closes the interior when in the pushed-in state. The housing, the door leaf or the front panel of the drawer has a cavity which is accessible via an opening in the housing, in the door leaf or in the front panel and inside of which the transceiver unit with the entire antenna is arranged. The electrically non-conductive covering covers the opening completely.