Hall will join Dougie Freedman's squad for the run-in, with Bolton five points and two places off the play-off places with eight games still to play.
The England U19 international star, who was recently on loan with Birmingham, has just recovered from a hernia problem and could make his debut against Wolves on April 6.
Hall said: "I'm getting there slowly, obviously it's important not to rush things, but I'm excited about what has happened in the last few hours.
"I'm looking forward to a new challenge at Bolton and hopefully I can get a good run of games. I've kept an eye on the whole league, because it's really close, and Bolton have picked up a lot of good results in the last handful of games."
"It's a massive confidence boost for me to be wanted by a big club like that and I'm hoping to go there and make an impression," he added.
"The play-offs are within touching distance but on a personal note, I'm just hoping to put in some good performances to enhance my reputation and we'll see where it leaves me come the end of the season."