The Gers boss is unable to register new players until September 1, but is on the lookout for out-of-contract stars to add to his Ibrox ranks.
Dundee United captain Jon Daly, Motherwell duo Chris Humphrey and Nicky Law and Reading's Andre Bikey have all been linked with Gers moves and McCoist is keen to do his business as quickly as possible.
He said: "We have got a big list but we are also at the stage of talking to agents and trying to enquire about the possibility of players coming to the club to help the ones that are here.
"It is the very early stages that we are at just now but there have been some positive vibes coming from one or two players.
"I would like them done as soon as possible, even though
they can't be registered until September 1.
"In terms of getting things in place for the start of next season, as soon as possible would be great.
"In an ideal world, I would love to get the league title wrapped up as soon as possible if we can and then start planning immediately for next year.
"We don't know what league it will be but at least we can organise pre-season and games and get ourselves ready.
"I know what my budget is for next season, I have been told."
Despite McCoist's side romping clear at the top of the Irn-Bru Third Division, Rangers have often flattered to deceive this season.
The Light Blues boss knows they still have a long way to go on the road to recovery but insists he is happy with how his squad is shaping up at this stage.
He said: "The first part of the healing process is to win the league and strengthen the squad.
"Our hands are tied because of the transfer embargo, but what we have got to try and do is get players in that will strengthen the team for next season because next season.
"Hopefully then we'll be in another division and our job will be to get out of that division.
"Do you think we'd be having this argument if we were playing fantastically every week and we were two points behind in the league? would that be a problem?
"You're darn tooting it would be a problem... it would be a massive problem. Where we are at the moment is absolutely fine."