"Our guys said we'd be well advised to have some bowl that we can drive to," Bowlsby said.
The Music City Bowl's current agreements are with the SEC and Atlantic Coast Conference.
The addition of West Virginia to the Big 12 last year has in part led the conference to turn its attention to the talent-rich southeast part of the country, especially Florida.
The Big 12's current bowl lineup includes: the Alamo Bowl in San Antonio; the Holiday Bowl in San Diego; Meineke Car Care Bowl in Houston; the Pinstripe Bowl in New York; the Buffalo Wild Wings Bowl in Tempe, Ariz.; and the Cotton Bowl in Arlington, Texas.
Bowlsby said the conference expects to often have its champion in the final four when the playoff starts, plus send another highly rated team to one of the four other marquee bowl games. The Cotton Bowl is expected to be part of the playoff bowl rotation.
The Big 12 is unlikely to keep its affiliation with the Yankee Stadium game and there has been speculation the Holiday Bowl could switch to a Big Ten affiliation with that conference interested in playing more postseason games in California.
"We've had a 16-year partnership with the Big 12 and it's been a great relationship," Holiday Bowl executive director Bruce Binkowski said. "We are right now looking at all of our options moving forward. There's interest in the Big Ten, interest in the Big 12. We're looking at all options to make this the best bowl game that we can."
The top Florida games beyond the Orange Bowl - the Outback Bowl in Tampa and the Capital One Bowl in Orlando - have SEC-Big Ten matchups. Orlando also hosts the Russell Athletic Bowl earlier in the bowl season. That has tie-ins with the Big East and the ACC.
While the SEC seems likely to keep its flag planted in Florida, and the Big Ten isn't about to vacate the Sunshine State altogether, there could be a spot for the Big 12.
Bowlsby wasn't about to speculate.
"Everybody is kind of holding their cards close to the vest right now," he said.