Mine does too. I have contacted DeLonghi and they thought it might be the removable water reservoir. They sent out another one, but this has not fixed the problem. They suggested I bring the machine in for service, but my warranty is up, so I don't feel like spending $$ to have it looked at. So, I took it apart last night, ran it through a brewing cycle (ouch, that's hot!) and checked for the source of the leak. There are 2 different sets of tubes inside the machine, to get the water from the reservoir, through the heating element and up through the machine to the top of the filter. On one tube, they used metal clips (very tight). On the other tube, they used plastic tie wraps (cheaper, but not a tight seal). I added an extra tie wrap beside the existing ones, hoping this would fix the leak. No success. Solution: PUT A TEA TOWEL UNDER THE MACHINE.
Needless to say, I'll never buy another DeLonghi appliance.
Marc -Ottawa, July 2008