Are you installing the same product from same installation package in the new machine? I think so, but just want to double check with you.
If the old machine will be wiped clean, you can try to make use of the License Transfer Utility to export the standalone license from the old machine following the instructions, and then export the license to the new machine. It should allow you to use the LT in the new machine directly.
You can get more information about License Transfer from below links.