CD Player Won't Read One CD Only

So, I have an original MF Nu Vista 3D CD player (bought new in 2003), and it has worked flawlessly. Yesterday, I wanted to play a CD (Disc 1 from Grateful Dead Road Trips, Summer '71), and the player won't read the disc. It just keeps whirring and then reads "No Disc." I tried the disc in the car and the computer and it plays fine. I've subsequently played a bunch of other discs in the MF and there's no problem. So, is the player starting to go and, if so, what can be done about it? Or, is it just this one disc since everything else has and continues to play without a hitch? Thanks for your advice.