Drake took full advantage of the Dodgers being out of town Thursday ... setting up a date on L.A.'s field with Johanna Leia -- and the whole thing looked like it was taken right out of a Drake song.
While Justin Turner and the boys were in Miami wrapping up their series with the Marlins ... the rapper took the opportunity to borrow their arena for a cozy date night -- and it's clear, he balled out for the occasion.
A helicopter camera spotted the 34-year-old at a table with Leia near the dugout on the third-base side of the field .