Jordan Palmer, signed earlier this week, played the final three quarters, completing 9 of 22 passes for 73 yards and three interceptions.
"No, I wouldn't say that's the situation," coach Doug Marrone said.
"I don't want to speak without having spoken to [general manager] Doug [Whaley] yet, but we're both on the same page that if we can better our football team, no matter what, we will do it," Marrone said. "The big question is, do we go out right now?
"If we can go out and get someone that's better, absolutely. I don't think anyone would be disappointed in us doing that."
In four games this preseason, Tuel has completed 64 percent of his passes, with two touchdowns, two interceptions and a 73.9 quarterback rating.