National Entrance Test(TISS-NET) is computer based test and it is going to be held on 4-01-2020 and the duration of the test is 1:40 mins.I am afraid that you are not eligible with an active backlog for this test.Actually you quoted that your supplementary  exam was on 20-12-2019 and I am sure that your results of that exam will not be announced anytime soon  .So, there is no chance for you to write the  TISS-NET exam.I wish you a better luck next time and make sure that while you are writing the test again in the next year, do not maintain an active backlog.