If your receiver has assignable inputs then it should be no problem. Assign the digital to the "DVD" input and the analog to the "CD" or however you see fit. If your receiver auto detects, then use different inputs for each. Connecting both the digital and the analog to the same input will cause either you or it (receiver) to decide.
My DVD player has 6 analog outs (SACD multichannel), a pair of analog outs (CD), and a digital coaxial (for DVDs) all going at once. At one point I also had the optical digital feeding a DAC as well as all the aforemntioned.
My DVD player has 6 analog outs (SACD multichannel), a pair of analog outs (CD), and a digital coaxial (for DVDs) all going at once. At one point I also had the optical digital feeding a DAC as well as all the aforemntioned.