Incoming Junior, or incoming Freshman, or incoming Senior means the school year is just beginning. If someone asks "what year are you in?" the incoming Junior would say, "I'm a Junior this year". The college grade levels are: 1st year - Freshman 2nd year - Sophomore 3rd year - Junior 4th year - Senior. A graduating senior is about to go through the graduation ceremony and receive his college diploma for a Bachelor's of Arts degree (B.A.) If they are going to continue on to a graduate degree, like a Masters (M.A.) or Doctorate (Ph.D.), they will be in graduate school, (college courses above and beyond the B.A. degree). If a person went to college 1 year, but did not complete a full "college load" or did not complete 30 college credits, they will still be at the Freshman level. They can attend many years, and not finish a full year's amount of college credits or units, so they should not call themselves a "junior".

"I took a class when I was a freshman that was not what I really needed", said University of Texas incomin junior Lexy Bennett". By the way, why did they not use "a" before "University of Texas junior" ?

an "incoming" junior is someone who is "about" to be or become a junior year student. it indicates a beginning of the year, which may not have already begun.

Could you show us the whole sentence? Cheers