Jackett saw his table-topping team notch an eight successive league win, equalling a club record, and they kept a clean sheet for the sixth game in a row.
Two Nouha Dicko goals and another from Bakary Sako saw Wolves open up a two-point lead over second-placed Leyton Orient, who could only draw 0-0 at Notts County, and maintain a three-point cushion over third-placed Brentford.
"I'm pleased to say it's in our own hands now, and you can't ask for more than that," said Wanderers boss Jackett.
"It was a very good win in a potentially tricky game for us. You could see the motivation in the Walsall players and supporters to beat Wolves, and the build up showed it was a massive game for us too, quite rightly. The last time Wolves were here was 1983.
"The first goal was crucial, and it was an excellent goal from some good old fashioned wing play. That gave us a great incentive and something to hang onto. We could sit deep, defend well, and we did that. Getting that first goal was something we had targeted.
"Eight successive wins is a terrific achievement and it will be hard if we don't win promotion. If we achieve promotion and get some records as well, it would be great."