If you shampoo, extract, or steam an interior and are pressed for time and/or weather conditions are too poor to dry out the interior, you can speed this up by Turning on your heat setting. If it’s just the carpet, put on the floor setting. If it’s seats and carpet, put on the dual setting. Make sure your A/C control is off. Unbelievably the car doesn’t stink afterwards.
Also, if wetting the interior is part of the job, try to do that as early as possible.