An integrated semiconductor memory, which can be operated in a normal operating state and a test operating state, includes a current pulse circuit with an input terminal for applying an input signal. The current pulse circuit is connected to an output terminal via an interconnect for carrying a current. In the test operating state, the current pulse circuit generates at least one first current pulse with a first, predetermined time duration in a first test cycle and at least one second current pulse with a second, unknown time duration in a subsequent second test cycle. In addition to a first current flowing on the interconnect in the normal operating state, a second current flows on the interconnect during the first test cycle and a third current flows during the second test cycle in the test operating state.