Localized two-dimensional J-resolved spectroscopy (JPRESS) has been employed in the study of a number of diseases. However, phase-twisted lineshape and broad dispersion tails of magnitude peaks limit its usefulness. Here, a method based on the combination of JPRESS and anti-JPRESS alike spectra is proposed to remove the dispersive parts of the phase-twisted and to give absorption-mode JPRESS spectroscopy. This can double the resolution of JPRESS spectra at the cost of greatly reduced sensitivity. The method was performed with a phantom on a 7T animal scanner.