The Angels signed Jansen (shoulder) to a one-year, $10 million contract Tuesday, Joel Sherman of the New York Post reports.
The Blue Jays have had contract talks with Jansen (shoulder), Hector Gomez of Z101 Digital reports.
The Red Sox placed Jansen on the 15-day injured list Monday with right shoulder inflammation, Jen McCaffrey of The Athletic reports.
Jansen (shoulder) threw a perfect ninth inning in Friday's extra-innings loss to the Twins. He did not record a strikeout.
Manager Alex Cora said that Jansen (lat) is available to pitch in Saturday's game against the White Sox, Alex Speier of The Boston Globe reports.
Jansen notched a save against the Blue Jays on Wednesday, striking out one batter in a perfect ninth inning.
Jansen (3-2) was tagged with Monday's loss to the Astros, allowing one run on one hit while striking out one over a third of an inning.
Jansen picked up the save in Friday's 12-10 victory over Baltimore, pitching a clean inning with two strikeouts.
Jansen struck out one in 1.1 perfect innings of relief Tuesday to record his 22nd save of the season in a 9-4 win over the Rangers.
Jansen (back) will be available for Friday's game versus Texas, Ian Browne of MLB.com reports.