Paging beeps disparity

When paging, the beep heard by the caller is heard 4 or 5 seconds before the phones being paged will accept a page. Is there a way to make the beep heard by the caller coincide better to the time the phones will accept a page?

This is a problem for the clients, in that they think the time to start speaking is when they hear the beep in their handset.

I have looked at

The first beep doesn’t seem to affect anything when changed, and the second beep is what the phones being paged hear.

Anyone have any ideas?