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"It's something I never even would have dreamed of," Yesavage said Thursday at a media availability. "But I'm here now and I'm embracing it fully."
Left-hander Blake Snell will start for the Dodgers. He has been dominant with a 3-0 record, 0.86 ERA and 28 strikeouts in three playoff appearances.
The Blue Jays are in the MLB championship for the first time since winning a second straight title in 1993. The Dodgers are the defending champions.
Both teams were expected to name their 26-player rosters on Friday morning.
The status of shortstop Bo Bichette, who has missed over six weeks with a knee sprain, remained uncertain on the eve of the best-of-seven series.
"He's feeling good, which is nice," said Blue Jays manager John Schneider. "Still a few more boxes to check."