Lawrie, who's hitting .324 with one home run in his last eight games, was 7-for-21 against the White Sox this season entering Sunday. He said he should be able to pinch-hit if called upon.
Farrell didn't want to blame injuries on any struggles this season.
"What we encountered with the injuries, it was almost at the same time our offense took off," Farrell said. "To say that we have a different number of wins because of injuries, I can't say that."
With Saturday's loss, the Blue Jays fell below .500 (42-43) for the second time this season.