The manager wasn’t too concerned at dropping two points at Peterhead as his side opened its Third Division campaign with a 2-2 draw at Balmoor Stadium this afternoon.
He is looking for a positive response all the same when his men are back in action at Ibrox against East Stirling next weekend.
And he wants his men to sharpen up in key areas to ensure the team gets the results it needs to go clear at the top of the table.
McCoist said: “It’s a league campaign and it’s a long one although I won’t lie to you, I’d have bitten your hand off for a draw after they scored their second.
“We will get better, there’s no doubt about that. We’ll play a lot better and we will win games but only if we defend better than we did today.”
McCoist had praise for opening scorer Barrie McKay, who grabbed his first competitive goal for the club at the age of just 17 with a fine strike in the first half.
The youngster has come into the team this season with fellow teenager Lewis Macleod and both made an impact as the latter started the move which led to that strike.
McCoist said of McKay: “He took it well. There was a good diagonal ball from Lewis and Lee McCulloch drifted into that area between the centre half and the full back.
“It was a good header down from him and a good finish from Barrie and at that time he gave us a good start.
“I just felt we didn’t go on to capitalise on that. We huffed and puffed but we didn’t put enough pressure on Peterhead’s goal in the first half.”