I can understand your concern about this water leak. Without a model number, I can only provide some general information. The information you have received is good. Depending on where it's leaking, it could be a crack in the disposal or a seal. It could also be from the hose connection or the hose may have a crack in it.
First cycle the dishwasher and when it drains, watch the disposal to see where the water is leaking. If it's leaking from the disposal itself, it's usually best to replace the disposal. Parts and labor will cost more then a new disposal and then you still have an old disposal.
If the connection is leaking, tighten the connection. If the hose is leaking, it may need to be replaced, depending on where the leak is. If it's close to the end, there may be enough excess hose, that it can be cut and then reconnected to the disposal. For more assistance a complete model and serial number will be needed. I hope this will help you. Thank you for using Manage My Life.
If you do not feel confident repairing this problem yourself, then you can have it repaired at your home by a Sears technician. Here is a link for the website:
Sears Home Services