I would not recommend, as others have said, leaving your current job without something else in the pipeline. Having saying that, there are other options that you could pursue. Starting out, while still in college, I found that co-op/internship was the way in the door to a previous employer.

They did not have an upfront commitment to hire me without first observing my work ethic and skills. I was able to prove myself to them and learn valuable skills at the same time. It is something that I would recommend to anyone.

In any case, I would recommend that you keep alert to opportunities that you may have at your current job. Is there any practice that is inefficient? I was rewarded with a job offer and later a promotion by my work in saving more than my salary to the company. In my case, they paid thousands each year for a large mainframe printer that was not only outdated, but with some investigation totally unnecessary. End result was that I worked to replace it with an off the shelf LAN printer.

I guarantee that every organization has waste in their operation. There is nothing that gets the attention of management faster than saving money.