Mark Robins' says that his side's ten-game season is now a nine-game season after leaving Gresty Road with all three points.
First-half goals from Tom Bayliss and Jonson Clarke-Harris sealed a 2-1 victory for the Sky Blues in sub-zero conditions in Cheshire, helping City to climb to sixth in SkyBet League Two.
"That was a deserved three points," said Robins
"The conditions today were really difficult. It was slippy under foot down by the dugouts.
"The supporters were magnificent. I have been to Gresty Road a lot as a manager and I have never seen the away end full like that. It was outstanding.
"The players responded to the weather really well. We took the lead deservedly and conceded just as deservedly, I thought.
"But after that we got back in control. Even though it was difficult to play out and over the half way line, I thought we managed it really well.
"Tom Bayliss got away from his man three or four times and then stuck it in off the post which was brilliant for us.
"We defended well when we needed too but we were creating opportunites. It really could have been five or six."
Robins was forced into making one change from the side that drew 2-2 with Luton as Lee Burge missed out due to illness, but his regular replacment Liam O'Brien pulled off a number of saves to keep City ahead. Even forcing an oustanding save from Paul Green that resulted in the Crewe goal.
"Liam O'Brien made some world-class saves before they scored their goal. He showed good concentration and made few mistakes.
"He didn't have a massive ammount to do but when he did he dealt with it brilliantly. I was pleased with his performance.
He added: "It is a nine-game now. We move on from this one. This is a great three points and we look ahead to Grimsby now."