1min wait time for garage door--any way to shorten that?

Using sharptools, autolocation, and tasker I have to wait about a minute before my garage door will go up. That’s with using a virtual presence/phone sensor. I, would like to get that down to around 30 seconds, but by the time I hit the inner geofences and my phone connects to my home wifi, its around 1 minute or so. Any way of shaving off some of that time?