Cine-cardiac MRI reconstruction relies on the ECG signal to sort k-space data. However, ECG triggering comes with disadvantages among which increased setup time. Here we suggest an alternative method of sorting cine MRI k-space data using deep-learning. An explorative study has been performed using an encoder-decoder network with Sinkhorn layer to sort k-space data that was randomly disordered in one spatial dimension. Good reconstructions were obtained using a group size of 8 or more k-space lines during randomization. These results hold promise for subsequent application in the time dimension.