Lawrie is recovering from a strained left groin he suffered on Friday against the Rays.
"[Thursday is] possible, but it's not a given," Farrell said after the Blue Jays' 9-2 road win over the Red Sox. "The main thing [is], we're going to make sure that everything is completely out of there and that we put him through any kind of appropriate tests so it's not restricting him in any way."
Lawrie took batting practice and 25 ground balls Tuesday morning at the Blue Jay's Spring Training complex in Dunedin, Fla.
"[He] had no restrictions swinging the bat," Farrell said. "Tomorrow, he'll do some agility work back at the complex and we'll monitor it day to day."