"That's definitely a possibility," manager Bob Melvin said Saturday. "We'll see how he feels [Sunday]."
Sam Fuld got a start in center for a second straight day in place of the rookie Burns, who has been nursing the hamstring injury since Wednesday.
"He's getting there," Melvin said. "For him to actually realize he shouldn't play means he's hurt a little bit, because he's a really tough guy.
"He's played with quite a few minor injuries this year that haven't kept him out, so whenever you're dealing with a player whose legs are a big part of his game and you're talking about a hamstring, we want to make sure he's comfortable being able to run the bases, which is what he does very well."
Burns leads Major League rookies in stolen bases (26) and multihit games (43) despite spending the first month of the season at Triple-A Nashville.
Jane Lee is a reporter for MLB.com. Read her blog, Major Lee-ague, and follow her on Twitter @JaneMLB. This story was not subject to the approval of Major League Baseball or its clubs.