Need Help!! Testing Question!

Hi, I smoke about 3 to 4 times a week, i recently applied for a position at the new mental hostpital for the state of california. I stopped smoking about 2 months before i put int he ap and i waited It took a long time to get anything back but i finnaly got a contingency job offer. They said i needed to pass a physical and teburculosis test. So i went in clean and took my physical they took my blod pressure and i cleared the teburculosis test fine and then she signed my medical clearance for work to the state. Now heres the question. I figured after i took my physical and went into the hospital and did all of that if they where going to urine test me they would have already done so. I started smoking again and i got the job. They called and said i was hired and i have about a week before i have to start. Now from what i hear there are alot of people that smoke that are hired already. Im wondering what it the likelyhood that i will be drug tested when i go in for work if ive already taken a physical and tb test and got medicaly cleared. Do you think they may still drug test me and should i stop smoking?? Any help would be great! Im going to be working in the food area of the state hospital. THe thing is that i figured they would have given me a drug test when i took my physical but they didnt say anything about it. Heres the websites for the state didnt find anything about drug testing on it.

http://www.spb.ca.gov/