Anderson suffered the injury Sunday against the Los Angeles Angels, and prior to Monday's game against the Seattle Mariners, he was open to playing it safe with regard to his hamstring ailment, per Vinnie Duber of NBC Chicago:
"It's a long season. We're still early on. So I think the biggest goal is be healthy when I do get back in. I'd rather sit right now and get healthy and be there for the rest of the way. Just playing it smart and being smart with my decision, make sure I'm making the right moves and getting the right treatment that I need.
"I'm ready to go, but my leg ain't. So I've got to play the waiting game."
The 27-year-old has emerged as one of MLB's most exciting players, hitting .200 (.600 OPS) with one home run, one RBI and three runs scored in four games this season.
Anderson led the majors with a .335 batting average in 2019 to go along with 18 home runs, 56 RBI, 18 stolen bases and a .865 OPS. In 2020, he led MLB with 45 runs, hitting .332 with 10 home runs and 21 RBI in 49 games. His .886 OPS was a career-high.
Last season, Chicago made the playoffs for the first time since 2008 largely because of his efforts, but the White Sox will be forced to go on without him for the time being.
Leury Garcia filled in for Anderson at shortstop last year, and he figures to do so again this time around, as he started there each of the past two games.
The 30-year-old hit .271 with a .758 OPS, three home runs and eight RBI in 63 plate appearances last year. His last full season came in 2019, when he hit a career-high .279 with eight homers, 40 RBI and 15 stolen bases.
Anderson also leaves a gap at the top of Chicago's powerful batting order. Garcia, Luis Robert, Yoan Moncada and Nick Madrigal each had a hand in filling that spot for him last year.
Madrigal may be the best bet to do so this year after posting a team-high .374 on-base percentage in 2020.
Anderson's absence looms even larger than usual right now due to the fact that slugger Eloy Jimenez could miss the entire season with a torn pectoral muscle.