GTA IV question NEED HELP BEFORE PURCHASING

So at some point I had owned the physical copy of GTA IV which later lead me into downloading the TBoGT and Lost and Damned via LIVE. I no longer have the physical copy of GTA IV, but am looking into downloading it from the Games on Demand. Will TBoGT and Lost and Damned still work, or will they still ask for the disk?

They will work with the digital version just fine.