If they want, it can be done faster. One of the 2 sats launched by Arianespace 7/7/08 was in GEO when E11 launced a week later. The other one, though, is still in GTO. It's up to whoever is driving it. Doing it slowly is a little more fuel efficent, but I suspect Dish is in more of a hurry.
FYI, E11 tracking is available at Heavens Above. OBJECT A - Orbit Data If you ask me, this site give a better understanding of the current orbit, rather than just trying to show where it is now according to the TLE. Given how close it is as of last Saturday it could be in GEO by now (although I think that would warrant a fresh TLE). Or, perhaps they will wait until it drifts over closer to 138 for its final insertion.