An integrated memory has a memory cell array with memory cells which are connected to word lines and bit lines. For the purpose of reading from or writing to one of the memory cells, a first word line can be connected to a supply circuit via a controllable first switching device and a second word line can be connected to the supply circuit via a controllable second switching device. A control circuit can drive the first switching device in dependence of an activation state of the second word line and the second switching device in dependence of an activation state of the first word line. Consequently, existing word lines that are not currently being used can be used for addressing one of the memory cells. As a result, only one wiring plane is required for the word lines.