Ramirez is serving a 50-game suspension for use of a performance-enhancing drug. He will be eligible to return to the Dodgers' lineup on July 3 if none of the team's games are rained out between now and then. The All-Star Game will be played on July 14.
In the first round of voting revealed this past week, Ramirez finished fourth among National League outfielders, just 34,000 votes removed from a spot in the starting lineup.
Selig told The Arizona Republic that he is analyzing his options.
"I'm going to think about that," Selig said. "He doesn't come back till July 3. Normally, I'm sensitive to the wishes of the fans. If the fans choose someone, I'd like to honor that. But we've been testing players for a long time, and it bothers me that someone would [cheat] at this stage in the game. I've got some time to think about this one."