The Light Blues were confirmed as Irn-Bru Third Division champions last week, despite being held to a 0-0 draw at Montrose, after nearest rivals Queen's Park suffered defeat to Elgin City. The stalemate at Links Park followed another drab goalless affair against Stirling Albion the previous week and McCoist is well aware that Rangers stumbled over the line in the end.
But, as they prepare to travel to Hampden on Sunday to face Queen's, he is hoping to witness some of the flair that has been missing in recent matches. McCoist said: "You could make an argument that they could maybe start producing - and I don't mean to be cheeky."
He added: "Definitely the last two or three performances haven't been of the standard we would want. We certainly haven't been potent in front of goal.
"I'm really hoping, now that we have won the title, a little bit of pressure might have been lifted off some of the younger boys."
With defender Ross Perry back in contention, Lee McCulloch could lead the line after a spell shoring up the defence, with McCoist again bemoaning a lack of forward options in recent outings.
He said: "You can see the team that we played in the last couple of games. When we're looking at youth squads to fill numbers on benches, it's not ideal.
"We don't really have a centre-forward. I could understand the crowd's frustration at the weekend, when they wanted us to go two up-front, but sadly we don't have two centre-forwards to play up-front. It is that simple.
"I'm just hoping at the weekend there is a little bit of pressure lifted off the lads going back to the national stadium.
"It's a place where the club has enjoyed enormous success over the years and hopefully we can just go and enjoy ourselves now and play with more attacking flair and confidence."
- Sports & Recreation