This paper presents an efficient method for high payload reversible data-hiding in H. 264/AVC intra bitstream with a minimal drift, which is controllable and proportional to the payload. In contrast to previously presented open-loop reversible data hiding techniques for H. 264/AVC bitstream, which mainly perform drift-compensation, we propose a new reversible data hiding technique for H. 264/AVC intra bitstream which avoids drift. The major design goals of this novel H.264/AVC reversible data hiding algorithm have been runtime-efficiency, high perceptual quality with a minimal effect on bit-rate. The data is efficiently embedded in the compressed domain in an open-loop fashion, i.e., all prediction results are reused. Nevertheless intra-drift is avoided, as only specific solution patterns are added, which are solutions of a system of linear equations that guarantee the preservation of the block's edge pixel values.