Removing contact from mid drip when they join a new list

I am setting up multiple funnels a contact can move through based on what they click. When a contact joins my list they get a welcome email. From that email based on what they click they can get added to a different list to get the information they want, but I don't need them to continue to get the email from the original drip. Is there a way to stop that one person from getting the rest of the 3 emails from the welcome drip once they join a different sales list? Will the drip automatically stop for that person once they are removed from the list even if they are mid que?