Thin4Anisha, bsmith56 is right...you can try to find something in the policy that allows you to switch from your parents' plan to your company's insurance plan. There are many reasons you can do so. I don't know them all, but I'm sure you could find out. For example (not suggesting you do any of these), change in marriage status, new baby, new job, increase in price of your current policy, etc. And as mentioned before, since you are 24, you may be at the end of the line for your parents being able to cover you anyway. I believe my dad's BC/BS policy would not cover me and my siblings once we turned 24, regardless of student status. (of course there are exclusions if you are a disabled adult child or something of that nature)
There is a possibility that your current insurance policy just hasn't realized your age yet. If you bring it to their attention, perhaps you'll be able to switch to the better insurance - you wouldn't have to wait for open enrollment in Jan 2009 since it would be like a "hardship transfer". Hope that helps! Let me know what you find out.