Wright has 565,982 votes and trails Rockies' 3B Nolan Arenado, who has 590,745 votes.
He was previously in third place, but has since overtaken Aramis Ramirez of the Brewers, who has 472,321 votes.
Daniel Murphy is the only other Met to crack the top five players at his position, and comes in at No. 5 with 298,611 votes. Murphy trails Chase Utley (974,196), Dee Gordon (530,289), Neil Walker (365,050) and Brandon Phillips (304,541).