Norwood had allowed three earned runs in 1 2/3 innings in three appearances this season. His placement on the IL is retroactive to Thursday.
Steele, 25, has never pitched in the big leagues before. The Cubs selected him in the fifth round of the 2014 amateur draft. He had a 5.59 ERA in 11 starts at Double-A Tennessee in 2019. He posted a 2.31 ERA across three minor league levels in 2018.