Imagine you have "toothache" and you can't stop it, and you understand you have to wait for the morning to be able to go to the dentist.
So you desperately wait throughout the night, and you constantly look at the clock on the wall expecting time is passing quickly. However, every minute you look at the clock, it feels like the time is not passing at all. You look out of the window, it is still night. So can you say:
"It is not getting morning." or "It is not becoming morning."