 Sosa had 13 home runs entering the month, representing less than half of Mark McGwire's total.Sosa had his first of four multi-home run games that month on June 1, and went on to break Rudy York's record with 20 home runs in the month, a record that still stands.By the end of his historic month, the outfielder's 33 home runs tied him with Ken Griffey, Jr. and left him only four behind McGwire's 37.