Though the D-backs have said they are not sellers yet, they have the second-worst record in baseball and would almost have to look at dealing impending free agents like Davis, Jon Garland and Felipe Lopez if they could get the right return.
"It's in the back of my mind," Davis said about the possibility of being dealt. "But it's not affecting anything I'm doing out on the field. If anything, I may be going out there trying to be more valuable as a trade [piece] for this team. That's the way I'm looking at it. I don't know what they are thinking right now. They haven't told me much. They haven't talked to my agent at all about any kind of next year plans or whatever."
Davis is in the final year of a three-year $22 million extension he signed after being traded to Arizona from Milwaukee.
The 33-year-old, who lives in the Phoenix area, said his first choice is to remain with the D-backs and that he would even consider coming back as a free agent if he were to be dealt during the season.
In the meantime, he continues to try and focus on his work on the mound.
"I can't control it," he said of his fate. "I have my kids that are going to come see me this summer. Where are they going to come see me at? I don't really know yet. It's hard to make plans with them and be able to stick to them. We'll see what happens."
Davis is 3-8 with a 3.72 ERA in 14 starts this year.
Steve Gilbert is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.