Right-handed pitcher Wander Suero will replace Hudson on the Nats' roster for the time being.
Suzuki missed the Nationals' 2-0 victory over St. Louis in the NLCS opener, but he was back behind the plate on Saturday.
Soto didn't preserve Scherzer's no-hitter, but he may have preserved his win. Opposite Wainwright will be future hall-of-famer Max Scherzer toeing the rubber and trying to put the Nationals in a commanding position heading back home for Game 3.
"Apparently the baby didn't want to come out until later this morning", Nationals manager Dave Martinez joked.
The Nationals take on the Cardinals in Game 1 of the NLCS on Friday at 8:08 p.m. ET.
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Hudson's absence weakens a shaky Nationals bullpen that had the worst ERA in the National League at 5.66. The right-hander went 3-0 with a 1.44 ERA and six saves in 24 regular-season appearances for the Nationals after he was acquired from Toronto at the July 31 trade deadline.
Elías "gives us another lefty in the bullpen, which is kind of nice", Martinez said.
Scherzer finished with 11 strikeouts, allowed one hit and walked two and has been pitching on just a few days rest in these playoffs.
Kurt Suzuki, meanwhile, did return to the lineup today after sitting out Game 1 while remaining under concussion protocol following his hit-by-pitch in Game 5 at Dodger Stadium on Wednesday. Martinez said Robles is about 80 to 85 percent. Gant went 11-1 with a 3.66 ERA this year, but the reliever struggled down the stretch.