The University of Texas system Board of Regents is meeting Thursday and they are scheduled to discuss and possibly vote on whether Bill Powers will remain the university president at Texas.
Powers has had a tenuous relationship with the board for several years and is believed to have a slim majority of support among the nine members.
No decision on Brown was expected to come until after Power's future at Texas was decided.
Brown is 158-47 at Texas, including a national championship in 2005 and another BCS title game appearance in 2009. Since that season, the Longhorns are 30-20 and 18-17 in the Big 12.
If the Longhorns job comes open, expect more speculation about Alabama coach Nick Saban replacing him.
The AP reported last month that after last season Texas regents had spoken with Saban's agent about the possibility of replacing Brown and approached Brown about stepping down.