In the seventh inning of the Red Sox's 5-3 loss to the Rays on Wednesday, Craig made a diving catch to rob Joey Butler of a potential hit.
That means that Daniel Nava will continue to be used mainly as a reserve while Brock Holt makes the bulk of starts in right field until Shane Victorino (right hamstring) returns.
Victorino will play for Double-A Portland on Friday and Saturday at a minimum, and Farrell hopes the right fielder will start the first two games in Oakland on Monday and Tuesday against lefties Scott Kazmir and Drew Pomeranz.
As for Ramirez, he continues to show improvement.
"He continues to improve with range of motion," Farrell said. "Tomorrow's not an unrealistic possibility that he could begin to swing a bat with some dry swings. We're not clear yet on what a potential return to full baseball activity, let alone a game, is yet. Improvement, but still day to day."
Ian Browne is a reporter for MLB.com. Read his blog, Brownie Points, and follow him on Twitter @IanMBrowne. This story was not subject to the approval of Major League Baseball or its clubs.