White moves to the Bantams on-loan for the remainder of the season.
The 23 year-old spent the first half of the campaign on loan at Leyton Orient where he featured in four League One matches.
White told Bradford's website: “It is a great feeling, I am so happy to be here. It is such an amazing and massive club. Hopefully, I can bring my game to this team, which is doing very well at the moment.
“I spoke to Graham Alexander in the summer, and since then I have watched some of the games whilst I have been on loan in the first part of the season. I feel like I can really excel.”
City manager Graham Alexander added: “Joe is a player we have admired for a while and we believe his creativity will bring an added dimension to our team.
“His ability on the ball is excellent, and he is willing to work hard off the ball, which suits our style. He will fit in with our group well.”