Pete confronted Jess at the Mexican Day of the Dead party after earlier admitting to the boys that she told him he couldn't have anyone round his flat and she wouldn't be happy if he did.
Having been on a few dates, the 'will-they-won't-they-get-together' storyline was still left unclear at the end of last night's episode.
Speaking to her at the party, Pete said: "I took Ernest to see the old dog psychic today. He ain't a big fan of you, thinks I'm too good for you.
"It has got to a point now where if I'm going out and there are birds there or if you're going out and there are geezers there, what are we supposed to be doing?"
Jess replied: "Look, it is how it is. I wouldn't expect you to stop talking to girls because of me because clearly there's nothing major going on between us."
But Jess admitted: "I might be jealous, but it's your prerogative. You're single, you can do what you want."
Pete also said it isn't his place to say anything if Jess was dating other guys too.
But, addressing recent comments that Jess was "mugging Pete off", Jess said: "I don't want everything thinking that I'm taking you for a mug because that isn't how I feel like it is."
Pete replied: "When my pals are saying to me, 'Look, it's about time you give it a miss because this ain't like you...'"
But Jess said: "I love what's going on between us and if everyone doesn't like it, well then sod them. If you meet someone, that's my own fault."
TOWIE airs every Sunday and Wednesday at 10pm on ITVBe.
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