Chance for me getting accepted into UT Austin?

Hey guys! I am currently a sophomore at a UT system school. I’m looking to transfer to UT Austin this coming spring. They’re still evaluating my application. I am a history major looking to get into the liberal arts school. I currently have 58 hours with a 3.58 GPA.
Questions: How long does the university take to tell students whether they have been accepted or not?
Do I have a good shot at getting in?