In this paper, we propose a speech-adaptive layered-coding (LC) scheme for the loss concealments of real-time CELP-coded speech transmitted over IP networks. Based on the ITU G.729 CS-ACELP codec operating at 8 Kbps, we design a loss-robust speech-adaptive codec at the same bit rate. Our scheme employs LC with redundant packetization in order to conceal losses and adapt to dynamic loss conditions characterized by the loss rate and the degree of burst, while maintaining an acceptable end-to-end delay. By protecting only the most important excitation parameters of each frame according to its speech type, our approach enables more efficient use of the bit budget. Our scheme delivers good-quality speech with a level of protection similar to full replication under medium loss rates, provides speech quality similar to the standard G.729 under very low loss rates, and outperforms both for low-to-medium loss rates.