"Very well could be, depending on how that goes, too, without getting ahead of myself," Melvin said.
Anderson "threw well" in a bullpen session on Wednesday. He last appeared for Oakland on April 29, when the A's won a 19-inning bout against the Angels. This season, he's 1-4 with a 6.21 ERA.
• Melvin also discussed two of his injured outfielders on Thursday. Coco Crisp has been out with a strained left hamstring and Chris Young has been sidelined with a strained left quad. Both players were injured in the April 29 game, too.
"They're all feeling better," Melvin said. "Young is probably a little bit ahead of Crisp right now, but Coco took some swings yesterday off the tee. If everything goes well, he could start running here in a day or two."
Mark Emery is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.