His .511 slugging percentage in May led the team, but as the longest-tenured National, his future with the club may be coming into question.
"I don't want to say that yet, but time will tell," Bernadina said. "I just pinch-hit, whatever I can do to help the team in the moment."
Bernadina has two hits in his seven pinch-hit at-bats, though his role in the outfield was further diminished when Michael Morse was activated off the disabled list on Friday.
"For now, we're winning," Bernadina said. "You've got to hang with it right now and be patient, but I don't know how much patience I have. We'll see."