electrostatics - Does the electric field inside a circuit cause a potential drop with distance?

We know that when the system reaches steady-state(current does not change with time),the electric filed inside the circuit is constant. In many textbooks and lectures,professors make a graph like this one:

So,in the "wire" sections of the graph,shouldn't the potential drop due to the existance of the electric field?Because we know from electrostatics that potential drops when we move away from the point of reference.So i think the potential should drop even when there is no resistor!