Dilation does not mean you would go into labor. Women can be a fingertip (it sounds like that is what you are) dilated for months.
If any doctor found the magic formula for figuring out a woman's risk of preterm labor or how long it would be before she went into labor, he would be a very rich man.
Simple point: no one can tell you when you might go into labor. Even though these are doctor's in training, they probably see women like you multiple times per day - and training hospitals never let interns loose without an actual doctor to oversee what they are doing.
If you are concerned, call your regular ob in the morning. More than likely it is normal pregnancy pains that come in the end of every pregnancy.
Good luck!