Outfielder Mike Baxter is being recalled from Triple-A to take Soler's spot on the 25-man roster, according to CSN Chicago.
The team has not revealed an updated timeline for Black's return to the team's bullpen.
Wilson was expected to compete for a starting job opposite Jeremy Maclin.
"Me being still young, I have a lot to learn," Wilson said Tuesday. "I'm just trying to take advantage of this opportunity. We're still early in the season and OTAs and we still have camp to go. I'm just out there fighting, fighting for a spot."
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