How to open TabTip on a specific screen?

Hello,

I'm working with a multi-screen desktop application and I use the TabTip keyboard to input user data. I found quite a few solutions how to conveniently open and close TabTip, but I cannot find how to pop it up on a specific screen. It looks like TabTip is always appears on the primary screen, not the screen it was closed. Currently, I intercept the WM_ENABLE and move the the TabTip window onto the screen I need. The keyboard jumps to another screen and this jump doesn't look nice. 

If it's actually possible to specify a screen for TabTip to pop up from the beginning?

Thank you.