no, don't worry - if it does not affect your points you will be fine. The "proper" thing to do is update the EOI once you have your new job. It should not change your "date of effect" if the points stay the same, so your place in the waiting queue should be secure. If you want you can tick "not relevant" in the EOI for your new job.
hi dear,Hi ccham,
it shouldn't affect the date of effect (because the points don't change) but I cannot guarantee that it won't .