Brownhill was captured from Bristol City on the penultimate day of the transfer window for a fee believed to be in the region of £7 million.
“I've come up against him a few times when he was at Preston and at Bristol City," said Tarkowski.
“I think he's a very good player, he was captain there when he was 23 so that shows how well he was doing.
“He's a great addition to our squad and he's still at an age where he's got time to learn and experience this league.
“He's a great signing for us and he'll come in and add a bit more competition in the squad. I'm looking forward to seeing how he does."