Branch said he's heard the SEC vote could be as early as Saturday and members of the committee want to ensure their questions about what is in the best interest of the state of Texas and its students are addressed.
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"There are millions of dollars at stake," Branch said. "And this could affect students at other schools like Texas, Texas Tech and Baylor."
Branch referred to the potential impact of A&M's departure on television contracts.
Branch said among those invited to Tuesday's open session are Big 12 commissioner Dan Beebe, SEC commissioner Mike Slive and Texas A&M president Dr. R. Bowen Loftin.
The Texas A&M Board of Regents is scheduled to meet Aug. 22.
Asked about multiple reports that he told Texas A&M officials that Texas was the key to the future of the Big 12 and that the Big 12 would survive without the Aggies, Beebe said in a text message to ESPN Dallas 103.3 FM's Ian Fitzsimmons those reports are "totally inaccurate."
While Texas A&M might be ready to bolt for the SEC, Florida State says rumors the Seminoles are considering the same are just that at the moment -- rumors.
But Florida State president Eric Barron also said it's not as if would never happen.
Barron said Friday that while he finds speculation fascinating, he has not had any talks about Florida State moving from the Atlantic Coast Conference. He said that the ACC "is a good conference."
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The Big 12 believes it could withstand the loss of A&M with Texas and Oklahoma remaining as anchor schools. If A&M were to leave, the Big 12 could consider Houston as a replacement to the TV market.
The Big 12 is stressing it has six members with AAU Academic Accreditation compared to two in the SEC, a note Branch said could be part of a "wholistic view."
The Big 12 also says A&M's issues with the Longhorn Network are being addressed. And it is focused on the significance of maintaining regional rivalries and geographic relevance.
But it was political pressure and legislature that played a key role in the Big 12 staying together last summer, when parts nearly broke off to join the Pac-12.
Florida State's Barron said he would not speculate if FSU could move when there has been no discussion about it.
Florida State has largely dominated the ACC in football since joining the conference two decades ago, winning a dozen league titles and two national championships.
