The Light Blues boss has already held talks with the player's representative and his father, former Gers player and current Palmerston assistant Sandy, about a switch to Ibrox next season. McCoist now hopes to meet with the player, who has netted an impressive 37 goals for the Irn-Bru Second Division champions this season, in the coming days.
"I've spoken to Nicky's agent and I've spoken to his father, who I know reasonably well, just to let them know that we have an interest in talking to Nicky and meeting up with him and seeing if there is a possibility of him coming to the club," he said.
"We are no further down the line than that, but I spoke to Sandy and I'm very keen to meet up, as are Sandy and Nicky, so hopefully we can get a meeting in the next couple of days.
"His goalscoring record is fantastic and we certainly need strengthening in forward areas, as we do all over the park."
A transfer embargo means Rangers must wait until September 1 to sign free agents and January 2014 before buying new players.
McCoist has a number of out-of-contract players on his wish list and has taken Argentinian defender Cristian Trombetta on trial after the 26-year-old left Mexican side Jaguares de Chiapas.
The manager said: "He's been in for two or three days training. He's having a look at the place and we are having a look at him.
"There is nothing concrete yet but it goes without saying that we are desperately trying to bring players in to the club for next season."