While I guess they could do it that way, they are going to do it in a way that uses the least amount of fuel as possible.
Instead of a jet burst non stop pushing it into orbit, you will instead probably have little engine squirts, enough to keep it moving forward to where it has to go, when it starts to slow down it gets another squirt of gas to give it more thrust.
I think its going to take awhile to get there.
Many little engine bursts uses the same fuel and gains the same result as one long burst - it's physics. It's in space, so simple physics applies - only gravitational effects modify the situation.
More than one burst is only needed to change the orbit in more than one way - i.e. one burst for elevation, one burst to correct orbit shape, more bursts to change its position relative to earth (slot).
The only reason it would take months, is that to conserve fuel, they may use a slight burst, and then let it drift slowly to the correct slot.