Moreland has not played since Saturday, and the IL move is retroactive to Sunday. The 33-year-old is hitting .228 with 13 home runs and 34 RBIs this season.
The Red Sox also optioned right-hander Travis Lakins to Triple-A Pawtucket. Lakins took the loss against the Indians on Tuesday when he allowed two earned runs as part of Cleveland's five-run ninth inning in the 7-5 game.
Right-hander Colten Brewer and left-hander Josh Taylor were recalled from Pawtucket. Brewer has a 5.32 ERA in 20 appearances this season; Taylor is getting his first major league call-up.