Jordan Gibson scored the only goal as unbeaten Crewe piled further pressure on Swindon boss Ian Holloway.
Holloway recently described himself as a "dead man walking" with his side not having won since early September. They had the better of a scrappy first half here but the first real chance fell to Ollie Clarke shortly before half-time – his glancing near-post header from Jack Thomson's corner was off target.
After the interval Town keeper Connor Ripley came out to smother Joe White's shot.
At the other end Tom Booth clawed away Aaron Drinan's far-post header from point-blank range.
Crewe went ahead on the hour mark when Gibson neatly swept in Josh March's low cross.
Gibson looked like he was going to double his tally after driving into the box from the left and twisting the centre-half into knots but he then jabbed into the side netting.
Matus Holicek broke clear and bore down on Ripley but the keeper saved well with his legs and repeated the feat minutes later from March's drive.
Report supplied by PA Media.
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