CBS Consumer Products VP John Van Citters replied that an HD remaster of TNG is "incredibly difficult without making them look awful." However, there are conversations going on within CBS on the issue, and Van Citters expected it to happen eventually.
The Digital Bits goes into further detail as to why a high-definition remaster of The Next Generation is much more problematic than of the older Star Trek: The Original Series. TNG was shot on film, but all post-production and visual effects were done on standard-definition analog video. As Bits editor Bill Hunt states, "if they just simply digitally upconverted from 480i to 1080p, there's NOBODY who would want to buy that on Blu-ray". Therefore, the only solution left is to scan all the original camera negatives, edit it again in HD, and redo all FX using computer graphics, like CBS did with the remastered versions of The Original Series.