The 29-year-old Australian has joined on an emergency loan from the Premier League club for the final eight games of the campaign.
Manager Nigel Clough moved quickly to bring Jones to Pride Park after Hull recalled Matt Duke from his loan stint with the Rams.
Duke was set to fill the gap vacated by Frank Fielding, who has returned to Blackburn, but he is going back to the KC Stadium.
Clough told the club's official website: "Brad fits the bill perfectly. He has Premier League experience, Football League experience and - importantly - big game experience.
"We have some big games coming up between now and May and he will be our number one in them."
Source: PA...
Source: PA