It might. The TV will scale the signal down to match it's display. I've noticed on my SD TVs though, that some items on HD channels seem sharper. I've noticed it most on ESPN when showing HD baseball and football games. It has a more DVD quality/sharpness to it than even my other Sat. channels, and Dish Network channels are usually pristine. Most Satalite companies will only run one or two HD signals per installation package. If that's the case run a SD signal to that display and the HD to the other true HDTVs you have. Unless the signal is very poor, it should look good on that TV.