Andrus strained his right hamstring in Saturday's 12-4 loss to the Twins, and was removed from the game in the third inning.
The shortstop, who ran sprints Tuesday at Rogers Centre, said his hamstring is nearing 100 percent, and he expected to know the exact date of his return after Tuesday's game.
"I think it will be a couple days," Andrus said. "I'm getting close to being good to go. Like I said, it's nothing I'm too worried about, just giving it a couple days to rest and let my hamstring get better."
Washington ruled out any possibility of a return earlier than Friday, citing the turf at Rogers Centre as his cause for concern.
"He went down and hit today," Washington said. "I certainly don't want him out there messing around, taking ground balls and stuff right now, because it doesn't take much on that turf for it to tighten up, and we need to get Elvis right."
Andrus, too, acknowledged his skepticism with the artificial playing surface, which saw a ball jump nearly a foot over the head of right fielder Jeff Francoeur in the second inning Monday.
"I know this turf is pretty bad," Andrus said. "[Even] when I'm OK, my legs hurt after every game. I think that's why they worry in there. Washington is so worried about me going to play on this turf."