Manager Joe Maddon was optimistic about what he saw from Longoria, saying there were no setbacks. He is scheduled to also run before Thursday's game against the Mets. If all goes well, Longoria could begin a rehab assignment Friday.
Longoria is still not 100 percent, according to Maddon, who added that it might take another day as well.
"With a hamstring, you have to be extremely prudent and wise," Maddon said. "We wanted to make sure that he was well."
Tampa Bay was 20-17 entering Tuesday since Longoria partially tore his left hamstring April 30. In 23 games, he was hitting .329 with four home runs and 19 RBIs.