That deal is for the maximum 93-day period, taking him well past the end of the season and any play-off dates should Shrews find themselves finishing between fourth and seventh in League Two.
Button told the club's official website: "I'm delighted to have signed the new loan and hopefully with the way things are going we can continue to push on and get some more good results."
Elsewhere, manager Paul Simpson has revealed Dave Hibbert suffered no more than bruising to his arm against Bournemouth at the weekend, with initial fears he may have sustained a possible fracture. Captain Graham Coughlan is also okay having taken a knock.
Source: Team Talk
Source: Team Talk