Danns has been with the Robins for the last month and he has scored one goal in five appearances for Derek McInnes' side.
The 30-year-old will now be available for City's home games with Derby, Watford and Peterborough, as well as away games against Ipswich, Millwall and Blackburn.
Danns joined Leicester from Crystal Palace for £600,000 in June 2011 and played 37 times for the Foxes last season.
But after struggling to secure a regular starting berth this campaign, Danns was given the opportunity to impress at Ashton Gate.


 





