Messick did not factor into the decision Tuesday against the Red Sox, allowing one run on five hits and one walk while striking out five over five innings.
Smith earned the save in Tuesday's 3-2 win over the Red Sox, allowing one walk while striking out one batter in a scoreless ninth inning.
Rocchio went 1-for-5 in Tuesday's 3-2 win over the Red Sox.
Rocchio (leg) will start at shortstop and bat ninth in Tuesday's contest in Boston.
Bassitt won't start as scheduled Tuesday against the Blue Jays since the game was postponed due to inclement weather.
Young (9-5) allowed two runs on three hits and three walks while striking out nine over six innings to take the loss versus the Brewers on Sunday.
Williams (14-8) earned the win against the Athletics on Sunday, allowing three hits and one walk while striking out nine over seven scoreless innings.
Smith earned the save in Sunday's 1-0 win over the Athletics, allowing one hit and no walks with three strikeouts over 1.1 innings.
Encarnacion-Strand is out of the lineup for Sunday's game against the Brewers, Roch Kubatko of MASNsports.com reports.
Baz (elbow) is scheduled to start Monday's game against the Blue Jays, Rich Dubroff of BaltimoreBaseball.com reports.
