Discussion on: Should I report to my supervisor if 1 of my team mate is not doing his work? Or would that mean I'm not a good team member?

[pentacular]

Then talk to your supervisor about the project going slow, and provide supporting information.

Rather than saying "X is not doing their work", say, "A was three weeks late, and B had to be redone, and C ...", and then ask the supervisor what can be done to avoid these kinds of problem in the future?

[Panda Quests]

Yes. That is a good approach