Alvarez signed a minor-league deal with the Red Sox on Wednesday, Chris Cotillo of The Springfield Republican reports.
The Brewers released Alvarez on Thursday.
Alvarez was reassigned Tuesday to the minor-league side of Brewers camp, Adam McCalvy of MLB.com reports.
Alvarez signed a minor-league with the Brewers on Saturday which includes an invitation to spring training, Todd Rosiak of the Milwaukee Journal Sentinel reports.
The Dodgers released Alvarez (undisclosed) on Monday.
The Dodgers designated Alvarez for assignment Tuesday.
Alvarez was optioned to Triple-A Oklahoma City on Sunday.
Alvarez isn't starting Monday's game against the Rockies, Fabian Ardaya of The Athletic reports.
Alvarez isn't in the lineup Saturday against Atlanta, Jack Harris of the Los Angeles Times reports.