Segmented EPI enables high resolution DWI. However, phase differences between segments can lead to severe artifacts. This work investigates an algorithm to enable reconstruction of interleaved segmented acquisitions without the need of additional calibration or navigator measurements. Given a limited number of interleaves, the initial phase estimates can be calculated by a traditional parallel imaging reconstruction, using the unweighted scan of the DWI measurement as a reference. The ASeDiWA jointly reconstructs all segments of one DWI frame maintaining their phase information. Therefore, the algorithm allows for an iterative improvement of the phase estimates included in the joint reconstruction.