Crewe were left heartbroken after dominating fellow strugglers Coventry only to slip to a 2-1 defeat thanks to Callum Wilson's brace.
The win leaves Coventry all but safe in League One, but Crewe are still deep in a relegation battle after winning just once in eight games.
But Alex boss Steve Davis was full of praise for his side, despite seeing them slip back into the relegation zone.
"I thought we did enough to at least get a point, maybe more," he said.
"I thought we really pushed them second half - for the best part, we played the better football, we were the better team.
"How they set up at the start, 5-4-1, you can see what was going to come.
"You can do that if you've got a striker of that calibre, you can set up that way, because he's a lone man.
"He's the one that's won them the game in fairness, and he's one of the best strikers in this division by a long way.
"They relied on him to get anything that broke, anything that dropped, and he won them the game on his own."
Davis added: "We remain positive, we remain calm and keep putting in those type of performances, because we give ourselves a better chance of winning the game."
The first half saw relatively few chances created, but Crewe had two early let-offs as Wilson first fired off target before a clearance hit City's Anton Robinson on the head and rebounded just wide of goal.
Alex pair Uche Ikpeazu and Mark Ellis then fired off target for the hosts as they looked for an equaliser.
Moments later Crewe went behind as Wilson grabbed his first of the game.
There was a slice of luck in the goal as the striker found himself in exactly the right place when Franck Moussa's surging run ended in a shot that rebounded off the post.
But Wilson was also quickest to react, sticking out a right leg to direct the ball into an empty net.
The goal livened the Gresty Road crowd up and the home fans were left furious just before half-time when a clear shirt pull on Ikpeazu in the box went unpunished, with the striker eventually wriggling clear and shooting across goal.
Davis was unimpressed too, adding: "Maybe you've got to fall over, I don't know, but it looked plain to me.
"It was right in front of the linesman and they've got to be brave and bold and give the decision."
The home side then dominated the second half and after Ikpeazu had missed two good chances they finally made the breakthrough, equalising with an own goal.
Coventry had had a scare seconds earlier when Andrew Webster deflected a pass just round the post, and from the resulting corner Joe Murphy failed to deal with the ball into the box and Jordan Clarke put the ball into his own net.
Alex pushed hard for a winner, with Matt Tootle forcing a great save and Ellis coming close.
But they were stunned on the counter-attack as Carl Baker found Wilson with an excellent through ball, and the striker duly netted a superb second.