With Wigan defender Gary Caldwell ruled out due to injury and Vancouver Whitecaps forward Kenny Miller unfit to start, the Celtic midfielder has been handed the armband for the first time.
And Strachan is confident that the 27-year-old can handle the pressure, having skippered the Bhoys over the past two seasons.
"He already knows what it's like to be a captain with pressure and that made him favourite," the new boss told reporters.
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"I've been lucky enough to do it for Celtic for the last couple of seasons and now to get the chance for this game for Scotland is a great honour."
Strachan also revealed the extent to which injuries and the influence of club managers might affect the starting line-up for his first game in charge.
"[Caldwell]'s left. Grant [Hanley] has left too, they did well to come up, they'd really been struggling. Ross McCormack has left, he's got some sort of bug but he made it up here which was terrific," he added.
"Young James [Forrest] went back because I felt it might be too much to play two games back to back for him. So he's away to Celtic and they'll look after him there.
"I spoke to a lot of managers recently and I'm trying to do the best for the group and the best for the managers.
"The team that is picked is the best one we can put out on Wednesday. We're taking into consideration the last time they played, the conditions they played in and who'll be playing at the weekend.
"We'll try to help them and try to get something positive for ourselves."