General manager Rick Hahn told Comcast SportsNet Chicago's Dan Hayes that Sale suffered the injury while unloading something off the back of his truck.
In 174 innings last season, Sale posted a 2.17 ERA with 208 strikeouts and 39 walks. The 25-year-old is entering his sixth season with the White Sox.
The White Sox said that they will have more clarity on Sale's status for Opening Day (April 6) after further testing.
"I came into this spring as ready as I've ever been. And I'm not losing any faith" - Chris Sale— Chicago White Sox (@whitesox) February 28, 2015