Wilson will likely miss Friday's game at Florida and was listed as day to day.
He hurt himself while running out a run-scoring single in the seventh inning. Wilson pulled up about halfway down the first-base line and hopped the rest of the way on his right leg.
The 30-year-old had difficulty putting weight on the leg and needed help walking off the field.
Wilson said he doesn't think his injury is serious.
"When I wake up tomorrow I hope it will be good to go," Wilson said before adding it's "not likely" he will play Friday.
"It's one of those muscles that will heal pretty soon. ... It was not a sharp pain."
Wilson's fielding error in the sixth inning helped the Braves rally from a 2-0 deficit to lead 3-2, but he drove in Chris Gomez with the single to the left-field corner to tie the game.
Wilson likely would have had a double if not for the injury.