find a job with a company that uses oracle. work in the it dept. do an awesome job. make it clear that you would like to get involved in the db side of things. hope it works out. i believe that you will find that companies, for the most part, are not going to put there data in the hands of someone without experience. i am dealing with the same thing. i have taken a job as a tech in a small nonprofit. along with routine tech work, i have been able to get my hands into many other things. in the near future we will be deploying a sql server or oracle db and i should have ample oppurtunity to work with it. before i found this job, i met a couple of people who told me about the same as what mentioned above. of course it may also depend on where you live. where i am things are quite tight and competitive....
good luck
"Maturity is a bitter disappointment for which no remedy exists, unless laughter can be said to remedy anything."
-Vonnegut