"They told us we weren't ready," Brown said to Michael Casagrande of AL.com on Tuesday morning. "They told us we weren't worthy of a top-four team. I mean, look, that's what happens when you talk trash to us. That's what happens. We're going to show you."
Brown's comments referred to Swinney voting Ohio State ahead of Alabama for the fourth spot in the last coaches' poll. He said Swinney told Nick Saban at a car-wash event that Alabama wasn't worthy of being in the playoff.
"He said them to Coach Saban's face," Brown said. "He didn't vote for us."
The senior also lashed out at Clemson wide receiver Hunter Renfrow, who claimed he apologized to Brown after last season's national championship - where he caught the game-winning touchdown - for trash-talking the defender.
"Didn't happen," Brown said. "That didn't happen at all. That was a complete lie, but like I said, I appreciate it. I love it. I love the lies he told and I love Dabo for all the ammunition he gave this team, man. He gave this team a lot of ammunition to come this game ready to dominate every play."
Brown recorded one tackle and one pass breakup in Alabama's 24-6 win. The Crimson Tide are headed to the national title game for the third year in a row.
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