In conventional multiband CAIPIRINHA, an additional reference scan is acquired to allow the separation of the simultaneously excited slices. In this study, an acquisition-reconstruction method that makes use of the multiband data itself to calculate this reference scan is presented. The immediate implication is that the full multiband acceleration can be exploited. In addition, since the reference data has the same resolution and phase structure to multiband (i.e. it is the same data), improved slice separation is achieved. The method was implemented starting from a 2D CINE phase-contrast MR sequence, and it was used to assess velocities in the myocardium in two subjects scanned at 3T.