The Ibrox boss has enjoyed a productive few weeks in the transfer market after recruiting defender Darren McGregor from St Mirren and reuniting the prolific Kris Boyd and Kenny Miller partnership.
It has been a below par start to the campaign for the Light Blues, however, as they have edged past Hibernian in the Petrofac Training Cup and lost to Hearts in their Championship opener.
McCoist moved to allay fears over the future of Lee Wallace earlier this week after the left-back was linked with a move to Brighton.
And the Ibrox boss hopes there will still be more movement into Ibrox after discussions with chief executive Graham Wallace.
McCoist said: "I had a couple of hours meeting with Graham this morning and he's been nothing other than supportive.
"He knows what we'd like to do and there's a period of time in the transfer window.
"We'd be hopeful there would be movement, perhaps both ways.
"Graham understands the need to be strong enough to get through the campaign and I'd be hopeful we can do that in the next couple of weeks.
"There's a couple of positions that would be top of my list, but I'm no different from any other manager."
If McCoist does get his wish to add more players to his squad, a creative midfielder is likely to be top of his shopping list as he looks to add a clinical touch to his side.
Nicky Law has scored two goals in two games from the middle of the park.
But he infuriated the Light Blue legions following his strike against the Jambos when he appeared to react following a chorus of boos when he was named as man of the match.
McCoist said: "I didn't see that reaction to the fans. I was asked about it on broadcast. Nicky's fine, he's trained fine.
"He scored against Hearts and Hibs and he's playing his part.
"He did a piece towards the end of last season saying he was now appreciative over the demands that were put on players at this club and that's great because there are extra demands on players at this club, more than the majority of other clubs in the country."
Rangers head to Falkirk tonight aiming to get their title challenge back on track and McCoist is eager to banish the weekend blues.
He said: "We can still do better with the chances we're creating because one or two of them were really clear-cut, and we move on.
"We don't want to labour on it, we don't want to start being too negative."