Two problems related to brake fluid leak have been reported for the 2001 Chevrolet C/k 2500. The most recently reported issues are listed below.
I had just replaced the hub and bearing housing on the right front axle on my four wheel drive 2001 Chevrolet hd2500 silverado pickup and was in the process of refilling and bleeding the air from the brake lines. During this process it appeared as if it was requiring more fluid than I had removed it was then that I noticed brake fluid dripping from the left front wheel well. To my surprise after removing the plastic wheel well cover I couldn't believe my eyes at what I saw, there were the brake lines either rusted away or delaminated. I have never experienced anything like this in over fifty years of repairing my own vehicles, I can only be thankful that I wasn't on the road towing my fifth wheel trailer when the brake lines failed in such a catastrophic manner. Since this happened late in October of 2013 I have yet to replace the brake lines, if you need pictures of the problem I can provide them to you.
Driving to work when I use my brakes they felt soft the next time I used them the peddle went to the floor. After stopping my truck I see a rusty brake line under my truck had a hole in it and fluid was pouring out.