"I think Bobby Wilson, he's got experience at the big league level," Towers said. "He's probably going to get a little more playing time now that Tuffy's got a calf strain [and is] probably going to be out for a while. It's pretty much open for that backup spot."
Gosewisch said he does not believe the injury is serious and he expects to be back in action by early next week.
Wilson, 30, has appeared in 191 big leagues games, all with the Angels.
Lalli, who is also 30, has appeared in 22 Major League games with the Cubs and Brewers. Lalli was signed this past offseason as a Minor League free agent.
If Blanco does not win the backup job, he is expected to be named the team's assistant hitting coach.
Steve Gilbert is a reporter for MLB.com. Read his blog, Inside the D-backs, and follow him on Twitter @SteveGilbertMLB. Chris Gabel is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.