Former Bantams skipper Jackson, 49, has been installed on a week-to-week basis following Peter Taylor's departure, but the club have confirmed they will start interviewing candidates this week for the full-time post.
Jackson said: "I know I'm coming in on a week-to-week basis, but I'm hopeful it will lead to a longer deal. Mark (Lawn) and the board have got a lot of confidence in me and I'm really looking forward to it.
"When you're born in Bradford and have captained the team, you want to be manager as well. It's a really big honour."
The former Huddersfield and Lincoln boss, who will be assisted by youth team manager David Wetherall, added: "I'm hoping to liven them up. I'm not saying we need to bring three or four players in - there will be no wholesale changes.
"It's just getting them to stick together and perform to pull ourselves away from where we are at the moment. I think the players have under-achieved this season with the quality there in the side. You've got a group of players in the bottom seven when they probably should be in the top seven."