1997 Chevy Tahoe Chevy Taho 97 motor stops while driving

Hello. I have a 97 tahoe (great car, the name in my country is grand blazer), and latelly, when it ´s moving and I take out the feet of the gas pedal, the motor stops. I usually put the gear at neutral and turn the ignition key so that the motor starts again. Sometimes it works, sometimes I must stop and try several times before it starts (it all happens with warm motor, and it doesn ´t happen all the time).
If the car were an old one, with a carburetor, I would just adjust the "minimum gas" screw, because if I keep the gas pedal slightly pressed, it never stops, but having fuel injection system, I wonder if I must have the injectors cleaned or what else.
Forgive my poor english.