Sillinger, who missed the Blue Jackets’ last game with an illness, made it 2-0 on a power-play goal with 3:09 left in the second period.
Colton Parayko scored with 10.5 seconds left to prevent the shutout by Greaves, who was recalled from American Hockey League to make his 15th career start. He made 31 saves.
Jordan Binnington stopped 28 shots for St. Louis before being pulled for an extra skater with about four minutes left.
Both teams came in averaging 4.8 goals over their previous five games, a stretch that included the Blue Jackets' 6-4 win against the Blues last week.
Takeaways
Blue Jackets: Needing to improve a dismal road record to improve their playoff chances, they won their second straight to get to 6-12-3 in away games.
Blues: St. Louis had scored an NHL-best 37 goals since Dec. 23, but needed a 6-on-4 to get on the board in this one.
Key moment
About 30 seconds apart midway through the second period, Greaves turned away Robert Thomas’ on one-timer from the right circle and Brandon Saad was unable to score after getting behind the defense at the opposite post. That preserved the Blue Jackets’ 1-0 lead.
Key stat
The Blue Jackets blocked 23 shots to help Greaves.
Up next
On Tuesday, the Blues play the first of back-to-back home games against Calgary while the Blue Jackets host Philadelphia.
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AP NHL: https://apnews.com/hub/nhl
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