But when asked about whispers of a Manchester City move, Postecoglou was quick to dismiss them.
"I don't know about the rumors, but Udogie is exceptional," he said.
"From day one, I knew he'd be a standout player for us. He's got so much growth left, and he's already got the physical attributes to be a top left-back.
"He's had some injury setbacks, but that's just part of his development. He's a key player for us, both defensively and going forward.
"He's in a great place right now, and I think he and others like him will be crucial for this club in the next couple of years."