The word comes directly from HTC's Vice President of Product Management, Mo Versi. Versi flat out said to a couple users on Twitter that the "target is early next week" for the Lollipop update. HTC has two Google Play edition devices in the lineup, the HTC One M7 and M8. We haven't seen any word from any other companies, but we'd assume that Samsung, Motorola, LG, and Sony are all aiming for the same time.
Of course, the updates for Play edition devices do come directly from Google, but Google needs to get some hardware drivers from manufacturers. We'll be keeping an eye out, but it looks like GPe users will only have to wait a couple more days before their updates start rolling out.