In reply to ShawnD:
This wasn't that recent as was in 2018 but would definitely recommend doing it as early as possible following the huts reopening towards the end of June as this is when the conditions will be best. I suspect by September it will be compatibley unsafe.
My main bit of advice is if you are doing it without a guide, don't trust the information in some of the guidebooks and check in with the hut guardians incase anything has changed. In particular following the decent from Dent de Bertol, a landslide occured prior to our trip which meant that path along the moraine was very unsafe so it was actually better and quicker to descend on the glacier until nearly at Schönbielhütte.