The deal will see the right-back through to his 10th season as an Albion player.
"I`m delighted as this gives me the security that you need as a player," Corbett, 29, told the club`s official website. "I`ve made 43 appearances this season and felt as though I have been an important member of the squad."
Goalkeeper and player of the year Adam Legzdins, defender Tony James and midfielders Jack Dyer, John McGrath, Jacques Maghoma, Russell Penn and Jimmy Phillips have also been offered new contracts.
Academy product Bradley Dunn has been offered a six-month professional deal.
Meanwhile, having previously stated that Paul Boertien had been released, Albion have now offered the defender an appearance-based deal.
Source: PA
Source: PA