Brown has missed The Bhoys' last three games through suspension; matches in which the team have collected maximum points.
Brown's numerous yellow cards led to his ban and Strachan hopes the tough-tackling midfielder will learn from his mistakes.
"Scott is back and that gives me a dilemma," Strachan told Celtic View.
"If you don't win the three games, the decision is a bit easier, but we did win the games.
"It was a self-inflicted wound for Scott.
"It's like being in the army in the 1950s. If you got sunburnt in the army, they put you in prison for two weeks.
"It's been self-inflicted wounds and he'll learn from that."