Toronto's third baseman suffered the injury while attempting to score from second base during Friday's victory over the Rays. Lawrie received treatment on Sunday, but once again did not participate in any on-field activity.
Lawrie said the injury is not serious, but it's better to be cautious with more than two weeks remaining until the start of the regular season.
"Good, getting better every day," Lawrie said when asked to update his status. "Today feels a lot better just from mobility-wise, moving it around and stuff. Every day is a new day and just getting better."
Lawrie is still considered day to day, but has already been ruled out for Tuesday's game against the Red Sox, which follows an off-day on Monday. He will continue receiving treatment and there is no immediate timetable for his return.
"It's just personal preference based on feel," Lawrie said. "These sort of things are just hard to put a timetable on and say you can play this day. So, it' s just on how it feels.
"I've had this before and especially today it feels better. I'm walking around fine without any pain, so it's just day-by-day progression and how I feel."
Lawrie is set to embark on his first full season in the Major Leagues after an impressive debut in 2011. The native of Langley, British Columbia, hit .293 with nine home runs and 25 RBIs while posting a .953 OPS in just 150 at-bats.
This spring, Lawrie entered play Saturday with the American League lead in hits (14), doubles (six) and stolen bases (five). He also leads the Blue Jays with a .609 average (14-for-23) with a .625 on-base percentage and a .957 slugging percentage.