Aston Villa held Middlesbrough to a goalless draw at Villa Park to go through 1-0 on aggregate.
Steve Bruce’s side will now face Fulham at Wembley on May 26 for a spot in next season’s Premier League.
Terry says Bruce deserves credit for how he set his Aston Villa team up tonight but he has warned his team-mates they still have one more job to do.
“It was a very good performance tonight,” Terry told Sky Sports.
“The boys were different class. It was important in the first half we didn’t concede. Another clean sheet in two games, so very good.
“It was quite tense as well. I think our game-plan and game setup worked superbly, so the manager deserves a lot of credit for that.
“The boys have been superb and we’re off to Wembley, one more to go.
“Unbelievable, incredible, the support, the lads, the dressing room is unbelievable.
“Great team spirit amongst the boys and like I said before, one more step and it will be the dream.
“They (Middlesbrough) are a very good side, obviously (Adama) Traore is a big threat for them as well. I thought Hutts (Alan Hutton) was superb over the two legs, I think he’s been the best player over the two legs.
“Let’s not get too excited, there’s still one more to go.
“I think it’s important playing two games in the space of four days to get a couple of days rest, which the manager is hopefully going to give us!
“And then back on it, a huge weekend for us.”