The Red Sox exercised Whitlock's (leg) $8.25 million club option for 2027 on Sunday, Ari Alexander of 7 News Boston reports.
Rasmussen didn't factor into the decision in Game 2 of the World Series on Saturday, giving up three runs on six hits and two walks while striking out four over 3.2 innings.
Baker issued a walk and allowed no hits in a scoreless ninth inning to earn the save in Game 5 of the ALCS at Cleveland on Sunday. He did not record a strikeout.
Peralta will start Game 6 of the ALCS against the Guardians on Monday, Marc Topkin of the Tampa Bay Times reports.
Mesa is out of the lineup for Game 5 of the ALCS against the Guardians on Sunday.
Rasmussen earned the win in Game 5 of the ALCS against the Guardians on Sunday, allowing one run on four hits with six strikeouts and one walk over seven innings.
Aranda went 3-for-4 with a walk, two RBI and two runs during Game 4 of the ALCS against the Guardians on Saturday.
Martinez earned the win in Game 4 of the ALCS against the Guardians on Saturday, allowing one run on two hits with three strikeouts and two walks across 5.1 innings.
Palacios is out of the lineup for Game 5 of the ALCS against the Guardians on Sunday.