A circuit is provided for supplying a negative erasing voltage onto the wordlines of selected blocks in an array of floating gate memory cells. The circuit includes a voltage circuit, which has a plurality of local outputs, each of which connects to wordlines of an associated block of floating gate memory cells. A block selector circuit is coupled to the local outputs of the voltage circuit and selectively switches each of the local outputs to apply either an erasing voltage or a non-erasing voltage onto the wordlines of the associated block of floating gate memory cells. Negative wordline stress is thus reduced for wordlines of unselected blocks which receive a less negative, non-erasing voltage during block erase operations.