First, you will be pleasantly surprised in the transition from a classical nylon stringed guitar to a nice low action steel string electric. Forget the pick click. You're hitting a plastic pick on plastic strings.
The biggest hurdle you'll have is acclimating yourself to such quick action on an electric guitar. You'll also be adjusting your attack from a more powerful attack on the acoustic to a lighter less aggressive attack on the electric. In other words it doesn't take much to get tone from an electric guitar.
Anyway, I wouldn't fret, so to speak, the pick click. You might choke up on the pick a bit or grasp it with a bit more pressure, but really, I wouldn't worry too much about it. As you progress you'll discover your sweet spot for the pick. Depending on the thickness of the pick I'm using, and I prefer a medium pick, I get clicky too!
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LC