Is there any difference in compression of 10bit and 8bit images?

Hi,

I want to know if there is a difference between the compressions of 10bit and 8bit images when JPEG lossy/lossless compression algorithm is used. The general lossy algorithm for 8-bit image compression is:

image==>dct (8x8)==> Quantization==> RLE for AC comp. and DPCM for DC comp==> Huffman Encoding.

To reconstruct the compressed image, the inverve of these steps should be followed then. Is there any difference in the algorithm (JPEG lossy) when compressing 10-bit image? If so, why? I searched for many web sites but couldn't get the exact answer.

Thank you in advance.