|Pls check data sheet; https://radiocrafts.com/uploads/rcxxxx%28hp%29-tm_data_sheet_1_42.pdf page 35.
It depends on what triggered the wake-up and if the end device can connect to the same router as before it went to sleep.
The wake up time itself is in the range of microseconds. The wake up time depends of course on how much data the module shall send when its awake.
Last Update: September 22, 2017