We present the stellar velocity dispersion measurements for 5 Luminous Compact Galaxies ( LCGs ) at z=0.5-0.7 . These galaxies are vigorously forming stars with average SFR \sim 40 M _ { \odot } /yr . We find that their velocity dispersions range from \sim 137 km / s to 260 km / s , while their stellar masses range between 4 \times 10 ^ { 9 } and 10 ^ { 11 } M _ { \odot } . If these LCGs evolve passively after this major burst of star formation , their masses and velocity dispersions , as well as their evolved colours and luminosities are most consistent with the values characteristic of early-type spiral galaxies today .