Rangers expect Madjid Bougherra to be fit for the opening game of the season after the defender was forced to return home from the club's German training camp.
Bougherra was left out of Gers' 3-0 friendly defeat by Bochum on Saturday due to a hamstring injury and will fly back to Glasgow to have a scan on the problem.
Kyle Lafferty has already returned home to see a specialist about the groin problem that will force him to miss the SPL opener against Hearts on 23rd July.
But McCoist, whose team face Bayer Leverkusen on Wednesday, expects Algeria defender Bougherra to make the encounter.
McCoist told the club's official website: "It's just a little niggle Madjid has more than anything and he has still been able to do the extra work we've asked him to do with physio Stevie Walker."
The Rangers boss added: "He has been running but he just feels it is a little bit tight so we'll get him home, have the problem scanned and see what happens. It's not a massive issue.
"The scan is just for confirmation more than anything else that it's not a serious injury but in the meantime, we're not taking any chances.
"We don't want Madjid to miss the Hearts game and that is why we've not been asking him to push himself too much.
"Everything he has done with us up until now has been well within his capabilities as we don't want to enflame the problem."