If I quit my toxic,abusive job the day I receive a new offer, will the new job most likely find out?

So for 4 months I've been at the worst job in the worst company I've ever worked for. Its affecting nearly every aspect of my life and my stomach gets sick every morning before I have to show up for my shift. I get yelled at and reprimanded nearly every single day no matter how hard I work- its dehumanizing. One of my bosses also constantly invades my personal space (gets in my face every time he speaks to me, sits on my desk sometimes and takes things off my desk without asking so I have to lock up every little thing each night). I've been generally well liked at my previous jobs and always had glowing reviews. This is just not something I can get used to.

At the moment I'm waiting for 2 different jobs to make their final hiring decisions. My question is... if I quit this toxic nightmare the day an offer letter comes through, how likely is it that the new job finds out? I dont know how much more abuse I can handle but i dont want the new job to judge me harshly for not putting in 2 weeks notice.

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