The win moved Wolves up to second in the table and after suffering two consecutive relegations Jackett is pleased at his side's progress as they start the long climb back up the football ladder.
He said: "We have conceded only eight goals in 13 games and this is an outstanding record.
"We are going in the right direction and we have a good points total - 32.
"You have to win in different ways in this league. This was a different type of game from when we beat Oldham at home in midweek, but we stood up to the test and did very well.
"It was never going to be a comfortable win, but we scored two very good goals and we weathered the storm in the second half.
"We could have done more on the break and the quality of our football could have been more incisive, but you are always looking to improve.
"Bradford have done very well. I have got a lot of respect for their manager Phil Parkinson and what he has done here - and to come here in the circumstances and win the game was a terrific achievement.
"You know with Bradford's two front players you are going to be under pressure for long spells, but we have defended very well this season and our keeper came to the rescue when we needed him. We needed him to be strong."
Bradford began well and were rewarded in the 14th minute when Italian-born midfielder Raffaele De Vita put them in front with his first goal for the club since joining them from Swindon in the close season.
Wolves then shook Bradford with two goals in four minutes.
Millwall loanee James Henry equalised after 28 minutes when a mix-up between skipper Gary Jones and James Meredith left him with a clear shot on goal and his 20-yard shot appeared to go under keeper Jon McLaughlin's body.
The visitors went ahead after 32 minutes when Henry's left-wing corner was only partially cleared and when he returned the ball into the goalmouth defender Richard Stearman reacted quickly to head the ball home.
Parkinson brought on leading goalscorer Nahki Wells, who has missed the last four games with an ankle injury, and he and Reid posed the greatest threat to the Wolves defence as Bradford battled for an equaliser.
Wells and Reid both had shots blocked in the 76th minute and keeper Carl Ikeme made a superb effort to deny the home side three minutes from the end.
Bradford also had an appeal for a penalty turned down when Reid appeared to be brought down by the keeper, but Lancashire referee Graham Salisbury booked the winger for 'diving.'