The incident occurred in the third period of the Oilers' 5-4 win over the Blackhawks. Reddox had to be helped from the ice after the play, but no penalty was assessed by the officials.
This is Eager's second suspension of the season. Back on Oct. 8, he was given another three-game ban for swinging his stick from the bench at then-Dallas Star player Sean Avery.
Eager will be eligible to return to Chicago's lineup next Sunday against Vancouver.