The 23-year-old German played 38 times in his first season in English football and was a success, though has been tempted by a return to his homeland.
However, after negotiations boss John Ward has convinced him to stay at the Memorial Stadium for another season.
Ward told the club's official website: "I have spoken to Fabian and we have another year's contract with him, it kicked in anyway with the agreement that had been made.
"We are looking forward to another season with him.
"Although Fabian is 23, he has probably only played about 10 or 12 games a season so far, and when you come across to England with the intensity we play at, it is a tough ask.
"Last season would have stood him in good stead. He found it tough, but he really enjoyed it. I am hoping to get a good pre-season in with him, and he had certainly got talent."