Jenkins underwent right elbow debridement surgery Wednesday, Bobby Nightengale of the Minneapolis Star-Tribune reports.
The Yankees outrighted Cornielle to the Florida Complex League on Thursday.
Buxton had the stitches removed from his surgically repaired right hip earlier this week and has begun the rehab process, Dan Hayes of The Athletic reports.
Manager Aaron Boone said Wednesday that Schmidt (biceps) will be shut down for the rest of the season, Gary Phillips of the New York Daily News reports.
Rice went 4-for-5 with a double, two home runs and six RBI in Game 1 of the AL Wild Card Series against the Red Sox on Tuesday.
Schlittler (1-0) earned the win in Game 1 of the AL Wild Card Series against the Red Sox on Tuesday. He struck out 10 and allowed two hits and one walk across 6.1 scoreless innings.
Chisholm is not in the lineup Tuesday for Game 1 of the wild-card series against the Red Sox.
Weathers (forearm) is not on the Yankees' AL Wild Card Series roster versus the Red Sox, Brendan Kuty of The Athletic reports.
The Yankees designated Cornielle for assignment Tuesday, Gary Phillips of the New York Daily News reports.
The Yankees activated Grisham (hamstring) from the 10-day injured list Tuesday, Jon Morosi of MLB Network reports.
