Right now my graphics card does not meet the requirements shown in the FAQ thread.
These are the specs of the laptop I used when I started working for Reverie
Processor: Intel Core 2 Duo T5250 @ 2 x 1.50GHz
Graphics Card: Nvidia GeForce 8400M GS with 128MB GDDR2 dedicated graphic memory
OS: Windows Vista
As you can see, my graphics card didn't meet the listed requirements but the game was definitely playable on that system.
Also, the Graphics Settings options are being worked on at the moment which should help the game run on lower spec systems.
I say, just give it go on your current system. If it works, great. If not, then you'll have to wait til your new system arrives to play but in the meantime you've helped us have a better understanding of what systems can't run DoF.