If you tell your therapist about the discs and the problems with them, you should be fine with massage.
If you get uncomfortable with the massage at any time, tell your therapist and have him/her adjust pressure to make it more pleasurable for you.
References :

even more than explicitly communicating this with your therapist, you may want to search out a therapist that has experience in treating herniated discs. there are techniques that can be applied that will assist you, depending on the extent of the herniation, may not cure but can give you some relief…

And even if it doesn’t fix it, the massage will help you in many other ways as well.
References :

I believe it matters on the type of massage you request. Different massages utilize different amounts of pressure and rubbing techniques. It would probably be a good idea to discuss what type of massage would be beneficial with your physician since it seems you have been diagnosed with a herniated disc.
References :

first off talk to yrou dr before even gettign a massage or talkign to a massage therapist because if they are good or know their stuff good they will tell you to talk to yoru dr first or at least i would and even beyond that the therapist should have you signa release soo he or she can talk to yoru dr and discuss what would be beneifical for you in this insistance
References :
speakign in terms of what i would do i am a massage therapist