Moustakas went 2-for-3 with a double and a walk in Friday's 4-3 victory over the Twins.
The 27-year-old broke through with his first two hits of the season after an 0-for-8 start in his first two games. Moustakas is expected to fill an important offensive role near the top of the lineup after a breakout 2015 that saw him set career highs in virtually every offensive category.