Animator State switching timing

Is there a way to have the state switch without having to wait for the current state clip to end?

 

Some of my bigger creatures have longer (slower) idle cycles and need to go to another animation when being attacked...

Even some sort of speed up on the idle cycle would work but is there that or are there any other options?

 

edit state transition (one of the ways is click on arrow), untick "Has Exit Time".

Is there a way to have the state switch without having to wait for the transition to end?

change "Interruption source" to value other than "None".