The Light Blues boss signed several top-flight standard players last year following the club's drop to the bottom tier of Scottish football and he has strengthened again ahead of the new campaign.
So far seven new faces - Cammy Bell, Jon Daly, Nicky Law, Arnold Peralta, Steven Smith, Richard Foster and Nicky Clark - have agreed moves to Ibrox, and McCoist is keen to bolster his squad even further.
Asked if the club needs so many new signings, the manager told RangersTV: "Of course we do because we are a completely different club to any other club in Scotland.
"As everybody saw last year, when Clyde and Stirling Albion and Elgin play against Rangers, it's a different Clyde and Stirling Albion and Elgin that will play Berwick Rangers.
"That isn't a criticism of any of those clubs but it's a fact. The managers will tell you that - they got a different reaction out of the players when playing against Rangers than they did playing other teams.
"For that reason, we certainly need to be stronger because we are playing higher tempo games and we need to have a bigger squad.
"The Rangers fans deserve the best players they can get and the best team they can get. By that I mean the one that we can afford to put on the park."
McCoist added: "The one thing about managers, especially the Rangers manager, is you're never in a position to long-term plan.
"If I long-term plan and take my eye off next week, I won't be here - it's a simple as that.
"The next couple of months is my priority. Of course the long-term future of the club is vitally important to myself and all the staff and the fans.
"But as soon as I take my eye off the next three or four weeks, you're in trouble.
"It's my job to get a team ready for the start of the season that will do the club justice."
Despite the influx of new arrivals, McCoist has yet to secure the signatures of any central defenders - a position most people expected to see strengthened.
Christophe Berra and Boris Pandza are both on the wanted list but the Gers boss says he needed clarity on the futures of Carlos Bocanegra and Dorin Goian, who both sealed their departures last weekend, before seeking replacements.
He said: "Contrary to what a lot of people might think, we have been looking at central defenders.
"We still had two central defenders that I thought were coming back to the club. So it would have been crazy of me to go out and strengthen in the central defensive position if, all of a sudden, you've got two international central defenders coming back.
"There was always the chance they wouldn't come back, and they haven't, so we will continue the work we've been doing in terms of looking at central defenders for the season."
Despite winning the Third Division title, McCoist and his players came in for criticism at the hands of disgruntled fans as a result of some poor performances last season.
He said: "The fans are always justified in having their opinion. Of course they are. Do we agree with everything everybody says? No, far from it.
"We had some fantastic performances - Motherwell in the cup was probably the best - and we had some performances throughout the season that were not nearly good enough.
"I totally agree and take on board that some levels of performance last year could've been a lot better.
"We are in the entertainment business and I want the Rangers fans to be happy and genuinely pleased with what they're seeing.
"But what they must see first and foremost is a Rangers team that can compete and win."