They have two more games against the Tigers in Detroit before the season ends on Monday.
The Cleveland Spiders lost 134 of their 154 matches in 1899, before what is now known as the modern era began the following year.
“It’s not the numbers that we want,” said Sizemore. “But that doesn’t mean it’s a total loss. We can build from this. We can learn from this and get better.”
White Sox starting pitcher Crochet threw four scoreless innings, striking out six batters and issuing one walk.
“No real emotions,” he said. “We put ourselves in this position early on. We are where we are because of the way we played. But that’s just all it is.”
This season the White Sox set a franchise record by losing 14 games in a row.
They broke that with a 21-game run of defeats that tied the 1988 Baltimore Orioles for the longest in American League history.
With the final play-off spots to be decided, you can watch the key moments on BBC iPlayer and the BBC Sport website and app as 15 games take place simultaneously from 20:00 BST on Sunday.