iPad Mini ship times have dropped to 3-5 days at a number of Apple Online Stores around the world, including the U.S., Canadian, Australia, New Zealand, Mainland China, Hong Kong, and Japanese outlets. This was first noticed by iPhoneinCanada.ca.
The most notable exception to the shipping time improvement is the European stores, which have a 2 week lead time.
During its first quarter conference call, Apple executives noted that the iPad mini was constrained for the entire holiday quarter. The company believes it can achieve supply/demand balance on the mini by the end of the March quarter.