Since the introduction of the Diversity-Multiplexing Tradeoff (DMT) by Zheng and Tse for ML reception in frequency-flat MIMO channels, some results have been obtained also for the DMT of frequency-selective MIMO channels and for the DMT of suboptimal receivers such as linear (LEs) and decision-feedback equalizers (DFEs) for frequency-selective SIMO channels or frequency-flat MIMO channels. We have recently extended these results to the case of linear receivers for frequency-selective MIMO channels. However, the diversity properties of linear receivers turn out to be fairly catastrophic. In this paper we show that (in the case of zero-forcing, almost) full diversity can be restored by the introduction of a convolutive linear MIMO precoding scheme, together with a moderate amount of redundancy in the form of zero-padding. The proposed scheme can be considered as an extension of an earlier SISO result by Tepelenlioglu to the MIMO case.