The Scots have two points from their first two Group F fixtures following a 2-2 home draw with Austria and a 1-1 draw with Israel on Sunday where regular number one David Marshall hitherto in fine form for his country, came in for some criticism for his attempt to save a long-range shot from Dor Peretz a minute before half-time.
However, the Scotland boss pointed to playing three games in a week as a possible reason for giving a game to either Craig Gordon of Hearts or Rangers number two Jon McLaughlin in what will be the last competitive game before this summer's delayed 2020 Euros.
Asked if he could look at one of the other goalkeepers, Clarke said: "It is possible. Three games in a week, it is possible to have a look at another goalkeeper.
“I can use the depth of the squad if I feel it is the right thing to do. I don't like discussing team selections the day before the game. I never have done.
"I know what my team is, I have it written down and it is in my pocket.
"I know the formation, I know the players and how many rotations there will be but it is not something to share with the general public and the media before the game."
McLaughlin has two caps to his name while Gordon has 55.