Draisaitl instead was fined $2,569.44, the maximum allowed under the collective bargaining agreement. The money goes to the players' emergency assistance fund.
Draisaitl received a major penalty and game misconduct when he hit Tierney in the groin with his stick in the second period of Edmonton's 7-0 loss Tuesday night. He had a hearing Wednesday.
The playoff series is tied at two games apiece, with Game 5 on Thursday in Edmonton.
Draisaitl was eighth in the league in scoring with 77 points in the regular season but has none in the playoffs. He was moved from the top-line wing to a third-line center role in Game 3.
Draisaitl had just 20 penalty minutes in the regular season.
Information from The Associated Press was used in this report.