De Vries (4-5) yielded a single tally on seven hits, didn't issue a walk and struck out three en route to the victory.
Alex Burnett and Jared Burton combined for 1 1/3 scoreless relief frames and Glen Perkins turned a 1-2-3 ninth for his ninth save as Minnesota took the opener of a three-game series that had been washed out Friday.
Justin Morneau contributed a run-scoring double and a sacrifice fly in the victory.
Kansas City's Will Smith (4-7) was tagged with the loss, yielding three runs on nine hits over six frames.
Johnny Giavotella drove in the Royals' only run.
Couple mistakenly served bag of cash at McDonald's drive-thru
Benedict Cumberbatch's dramatic reading of R. Kelly lyrics is just what you need