I think the key to understanding this is there is not a single string of electrons all in a line jumping from one atom to the next, rather the cross section of the wire represents a gazillion of atoms all jammed in parallel and series so any one specific electron just finds an adjacent nearby atom closer to the positive potential to jump to and some other electron then jumps to another atom and on and on. There are so many atoms all involved in allowing electron migration that any specific electron makes very slow progress down the wire.
Anyway it's the sear number of atoms available as carriers for the electron flow that the progress for any single specific atom to make it's way down the wire will be very slow going.
I believe the total amount of electrons flowing at any given current amount is what a Coulomb is about and one can see by the constant value that a whole lot of electrons are involved when current is flowing.
One coulomb is the magnitude (absolute value) of electrical charge in 6.24150965(16)×10e18 protons or electrons.[1]
Lefty