We show in theory and experiment that in a SBS based delay line pulses can be delayed to more than a bit period without broadening. Zero-broadening is possible since the broadening due to the narrow Brillouin gain bandwidth can be compensated by the group velocity dispersion accompanied with the pulse delay. We achieve compensation by a superposition of a broad gain with two narrow losses at its wings. In our experiments 1.9ns pulses were delayed to around 1.5Bit, at the same time its FWHM width was compressed to 80%. Therefore, besides slowing down pulses, the method could have the potential to compensate the fiber dispersion.