With 348,787 votes, Sandoval trails Mike Moustakas (Royals) and Josh Donaldson (Blue Jays).
Red Sox designated hitter David Ortiz is fourth among designated hitters with 340,606 votes.
Though Big Papi has started the season in a slump, the nine-time All-Star vows he'll get in a groove soon.
"I keep on working," said Ortiz. "I'm going to keep on working as long as I play baseball and I will find a way to get out of it once again."
Dustin Pedroia, looking for his fifth All-Star selection, is fifth at second base, with 320,420 votes.