Moreland was 0-for-3 on Tuesday against Hiroki Kuroda and the Yankees, but was 5-for-11 with two doubles and a home run in the next three games to raise his average to .213.
"He certainly swung the bat well," manager Ron Washington said. "He's a grinder, he's a worker and he's a threat. I'm glad we were able to do that for him."
Moreland did not start on Sunday night against the Rays, with left-hander David Price on the mound. Washington said he's planning on starting Moreland against right-handers Kyle Drabek and Drew Hutchison in the first two games against the Blue Jays this week. Washington said Moreland will likely sit on Wednesday against left-hander Ricky Romero.
Moreland should get plenty of playing time in Cleveland next weekend. The Indians have an all right-handed rotation, and the Rangers are currently scheduled to face Jeanmar Gomez, Derek Lowe and Ubaldo Jimenez during that three-game series at Progressive Field.
"I haven't been in there against lefties," Moreland said. "My feeling is I can hit both just as good. That's the way it goes. I'll be ready to play whenever I get in there. I've been working at it and it seems to be carrying over into the games pretty well. I'm trying to get into the box and hit it hard."