In this work, discrete-wavelet-transform (DWT) gain compensation of Motion-JPEG2000 (MJP2) for invertible deinterlacer is proposed. As previous works, we have developed invertible deinterlacer that suppresses comb-tooth artifacts caused by field interleaving for interlaced scanning video, which affect the quality of scalable intraframe-based codec such as MJP2. Our technique has two features that the sampling density is preserved and the image quality can be recovered by the inverse process on demand. When no codec is applied in between the deinterlacer and inverse process, the original video is perfectly reconstructed. Otherwise, it is approximately recovered. The purpose of this work is to improve the quality of recovered images when MJP2 codec is inserted. It is shown that our invertible deinterlacer can be embedded into the DWT. As a result, frequency weighting for rate-distortion control can be moderately compensated. Simulation results show that the quality recovery is improved more than 1.5 dB in PSNR by applying the proposed compensation compared with the original weighting at 2.0bpp of decoding rate for 8-bit grayscale pictures.