An EEPROM memory integrated circuit includes memory cells arranged in a memory plane. Each memory cell includes an access transistor in series with a state transistor. Each access transistor is coupled, via its source region, to the corresponding source line and each state transistor is coupled, via its drain region, to the corresponding bit line. The floating gate of each state transistor rests on a dielectric layer having a first part with a first thickness, and a second part with a second thickness that is less than the first thickness. The second part is located on the source side of the state transistor.