If Texas beats Baylor and Kansas State at home and wins the first Big 12 tournament game against Tech/TCU, I absolutely think they make the tournament.
Let's look at Oklahoma State from last year, who made the tournament. They finished the year 21-12, 8-10 in conference. They had 3 RPI top 50 wins last year, all at home (Colorado, Texas, Kansas). Oklahoma State had a KenPom rating of around 23-25. They had an ESPN RPI of 45 going into the tournament. That Oklahoma State team finished as a #9 seed.
Let's look at Texas' resume. We are currently 17-12. 3 more wins and a loss would make us 20-13. That would also put us as at 8-10 in conference. If Texas beats Baylor they will also have 3 top 50 RPI wins (Baylor, WV and Iowa). Texas current KenPom rating is 21. Texas current ESPN RPI is 47.
If Texas beats Baylor, K-State and Tech/TCU they will have an identical conference record with Oklahoma State from last year. Oklahoma State's overall record will be one game better. Texas will have the same amount of RPI top 50 wins (Texas won one on a neutral court, OK.State won all of theirs at home so advantage Texas). Texas will have around the same KenPom and ESPN RPI rankings if they win these 3 games in a row. If Texas wins the next 3 they will likely have a higher KenPom and ESPN RPI in comparison with Ok. State from last year.
The bubble is also weaker this year and the Big 12 is stronger (helping the RPI). So like I said, win these next 3 games and I think we make the tournament.