I do not think that you can do that. Read the explanation right here. Now there is a way to do it and it basically consist of:
Get the tools to open & void Xbox360 warranty
Connect your old Xbox360 DVD drive to your PC
Use a program to read the key code from old drive
Remove the old drive, put the new drive on the PC
Use a program to copy key code onto new drive
Put the new drive into Xbox360
There are a lot of tutorials out there like http://www.xbox-scene.com and see if that is something you are interested in. Good Luck and let us know how it is going...