Danns spent two months with the Foxes' npower Championship rivals, making nine appearances and scoring two goals for Derek McInnes' side.
Should Danns struggle for first-team opportunities on his return to Leicester, Robins boss McInnes would have the 30-year-old back at Ashton Gate.
He told his club's official website: "Neil has returned to Leicester now and has to see where he is at there.
"If Neil became available again, either on loan or permanently, then I think we'd be at the front of the queue."
