I was in a very serious relationship and my BF would get so depressed if I couldn't come. He thought that he was a failure so I started faking it which never helped the situation to get better.

I would try to talk to your new guy and explain that the more pressure, the fewer results and for him to just know that you are enjoying yourself whether you come or not.

My BF was such a sex maniac that he'd want to go twice and what I ended up doing was faking the first orgasm with him and then suggesting that we masturbate together sitting across from one another and then I'd give myself an orgasm and he's think that it was my 2nd one when it was only my first. That could always be your fall-back plan but your first priority should be communicating with your partner and trying to figure it out without having to resort to plan B.

Good luck!