Friday's moves come after Baez went 4-for-15 while playing four positions in a four-game rehab stint with Iowa. Baez injured his left thumb while sliding headfirst into first base during a spring training game, limiting him to 30 at-bats in exhibition games.
Baez might play some left field with Kyle Schwarber out for the season with torn knee ligaments.
Baez was the ninth overall pick in the 2011 draft. He has 10 home runs and 119 strikeouts in 80 major league games over the past two seasons.