A semiconductor memory device including an array of memory cells arranged in a plurality of rows and in a plurality of columns. The memory device further includes a plurality of word lines each associated with a respective row of the array and identified by a respective row address, and a row decoder configured to receive a current row address and select a word line according to said current row address. The row decoder includes a plurality of row selection units each associated with a respective word line and configured to receive the current row address; each row selection unit is configured to be enabled for biasing the respective word line to a selection voltage if the current row address identifies said word line. Each row selection unit includes a corresponding enabling device for enabling the row selection unit after a predetermined time from the reception of the current row address.