You've gotten some good answers, but here are a couple more:
I'll jump with anyone, regardless of experience. I've said it a zillion times - my only requirement is that you not try to kill me.
But I need to know what that experience is. I need to decide if you can safely join the group I'm with or how to build a group and dive plan that has a reasonable chance of succeeding and that will be safe(ish).
The only real metrics for that experience is jump numbers, and to a certain degree, tunnel time (see post #6 for why tunnel time is not a full replacement).
As was also noted in post #6, being a part of the community is also part of it.
Show up on a regular basis. Jump with folks. When they get to know you and your skill level, the chances of getting invited on fun stuff goes up. I've seen 40-50 jump new folk invited on bigish (12 or so) hybrids because the guys putting the plan together knew that the new guy could make a stable exit and lay the base for a hybrid. Not a super challenging or exciting slot, but it gave the new guy a chance to be on a fun jump, show he could do what was needed and gain some experience.
Hang out after jumping (you don't have to drink). Make friends so you aren't just 'the new guy'.
And, the hardest part, be patient. It takes time to build kills & experience. But if you show those around you that you aren't going to do stuff beyond what you should, show them that you have a good handle on what you can & can't do, that you have some good judgement, you will have a better chance of becoming a part of the 'cool kids'.
Don't be 'that guy'. Don't be Mr Madd Skillz. I know a couple guys who have earned a reputation for being stupid and dangerous. For some strange reason, they have a hard time finding people to jump with.
There will always be a few that look down on you because you're new.
But my experience is that they are far, far more the exception than the rule.