Boss David Artell was left downhearted after his side gave everything at Newport only to come unstuck by an unjust injury time goal to lose.
The Alex had controlled much of the contest but succumbed to the 1-0 defeat thanks to Padraig Amond's 93rd minute goal.
The Crewe Manager said: “I don’t think it was complacency, it was a mistake – we’ve completely dominated the game.
“Credit to Newport because they defended heroically. We didn’t create too much, but we dominated the game in terms of possession & territory & we’ve been caught by an absolute suckerpunch which we didn’t deserve.
“I love the fact that they’re trying to win the game of football in the 92nd minute, I’m not going to knock that out of them, but at the same time we’ve got to be disciplined & realistic enough to know that it’s a good point.
“We had pressure & plenty of the ball & I just felt it was coming. The performance was there, the energy was there & we ultimately kept last season’s play-off finalists down to two or three chances all game & we completely dominated the ball against them.”