As we've seen in the past, Chip Brown is the mouthpiece of the Texas administration. Reading the tea leaves, it seems clear they've used their bargaining chip with Houston. My guess is OU and the others who weren't keen on another Texas school have or would agree to give in on UH with the right package. This quote makes it pretty clear that package does not include Memphis and OU is putting their foot down on that end. Other than the Texas reporters, there's been virtually no conclusive proof that Memphis was "gaining momentum" in any regard. It seems Boren is saying here (through Tramel) "You got your political pick with UH, we're not giving you a second one." That quote in the tweet is about as directly a negative comment about a realistic expansion candidate as we've seen in this process.
You don't make a statement to the press like "OU does not want to be in a conference with Memphis" when you're negotiating to get something else you want in return for allowing Memphis in. Much less after you've already given Texas one free pick, so to speak, that you weren't terribly enamored with.