After going 1-for-3 in the seven-hole Tuesday night, Cruz was slated to bat second and play third base in Wednesday's rubber match against the Reds.
"He's been hot," manager Don Mattingly said. "He's been a guy that has been on the go since last winter."
He doubled home the tiebreaking run on Tuesday and then scored an insurance run when he stole home. He was 0-for-2 with an RBI on a sacrifice fly on Monday.
Prior to being called up this week, Cruz had appeared in 56 games in three seasons combined with the Brewers and Pirates. He batted .308 with a home run and eight RBIs in 24 Spring Training games.
"He was probably down a little bit not making the club and then he makes the club and goes down there and he's tearing it up," Mattingly said. "He's looked OK since he's been here. We'll see, but he's been pretty good so far."