Reyes was seen flying around the bases prior to Saturday's game, and his recovery from a severely sprained left ankle is going very well.
"He's certainly getting close, and it's great to see," said general manager Alex Anthopoulos, who added Reyes will begin his rehab assignment in within the next 10 days.
"Then it'll be a question of how many at-bats is he going to need, and how [do] his legs feel after playing seven innings, nine innings, and so on. But we're definitely going to be anxious to have him back."
Lawrie injured his left ankle on an awkward slide two weeks ago, but it's not healing the way the club hoped. The third baseman has since been put in a walking boot to try and speed up the recovery process.
"I don't really have a timeline [for his return], because it just takes time to heal," Anthopoulos said. "Again, he's going to have to get back to running and all those kind of things. It's not as severe as Reyes, but it seems like it's certainly healing very slowly right now."
Evan Peaslee is an associate reporter for MLB.com.
This story was not subject to the approval of Major League Baseball or its clubs.