Plymouth boss John Sheridan wants his relegation-haunted side to build on their goalless draw at home to Bradford which lifted the Pilgrims off the foot of the table.
Both sides hit the woodwork, with on-loan Crystal Palace forward Jason Banton's angled 51st minute shot smashing off an upright. City target man Garry Thompson's 80th minute volley from 20 yards beat home keeper Jake Cole but looped up off the top of the bar.
"It was a workmanlike performance and it gets us off the bottom but now we want to get out of the bottom two, so Fleetwood on Saturday becomes a must-win game again," Sheridan said.
"Bradford are a good team, with some good players for this division and they should be right up there. They have been beating Premier League teams and they have only just been in a cup final so I thought we did very well against them given all that. We competed with them, and we competed well.
"We have just got to carry that attitude forward and if we can do that I think we can stay up. I think it was a good battling point. I can't fault the players I think they worked their socks off. We just didn't get that little break. They have had one or two chances, we have had one or two chances and I can't fault our effort."
Bradford boss Phil Parkinson said: "That's five unbeaten since the cup final and we have got to keep doing the right things in the right area and believe and it will happen for us.
"We couldn't have done much more, we hit the bar, had a one-on-one and two headers in the six yard box and I can remember as a player going away from home and creating one chance and someone scoring and you win. We created five or six chances and it was a tough game. We knew it coming down here because they are fighting for everything.
"We knew it coming down here, it's a long old trip on a Tuesday night. This is a difficult place to come, Plymouth are a big club and John (Sheridan) has started to get them going and they are a decent side.
"I don't think we could have done much more to win the game. It was a bit scrappy at times but that's because there is so much at stake for both teams but I thought we gave everything.
"They are all tough games in this division and the margins in this division are really tight like any of the other divisions. Top teams, bottom teams there is very little in it but we are a team at the moment that just needs a bit of luck, a bit of inspiration in front of goal to get us going."