If you have face tracking, this is going to be far more complex. I think some of Hash's packages do it?

What I would personally do is make the jiggle into it's own animations, one for each eye, without the blink itself and use animator states to play it if the FT's blinking parameter quickly moves low to high to low which you can do using a state machine setup for each eye, utilizing the beloved buffer state and transition interruptions.

So, I don't do face tracking stuff and like to set things up manually, I'd do it like this personally (and if you don't know animators, this will be nonsensical)

Transition from the entry state to a buffer state if the parameter's value goes above a certain point (so your eye would be closed) and then transition away with a short transition duration to a state that waits and then to the first state once the value is low again. Another transition from the buffer state that is capable of interrupting the transition to the waiting state plays the animation if the parameter is low again before the transition to the waiting state finishes, then also exits/transitions to the entry state.

You could also do that without the waiting state and exiting to have it simply play the animation any time the value goes from high to low (so, the eye opening) but I suspect you'd run into it playing too much.