The game was only a minute old when Matty Robson latched on to a cross from JP McGovern to give Carlisle the lead over a Coventry side looking to extend a record of six away wins in a row.
Ninety five minutes of football later it was still the only thing separating the sides.
t was a huge improvement on the Blues last outing when they were beaten 4-0 by Swindon.
Liam Noble and Lee Miller both spurned chances to extend United's lead, while two shocking misses by Coventry's Leon Clarke will have been a bitter pill for away fans to swallow.
Carlisle are now 17th in League One, nineteen points above the relegation zone.
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Rain in west, some heavy, brighter in east. Reversal into Monday. Here's the detail
Kerrie Gosney brings you Saturday night's forecast
East is best for sunshine. Cloudier, breezier with rain risk in the west. Warmer than average