The 30-year-old Miller went 0-and-1 with a 10-point-9 earned run average in three starts this season with the Cubs.
He made a start with the Smokies of the Southern League in May, allowing three runs and seven hits in five-and-two-thirds innings.
Miller also pitched three innings with the Triple-A Iowa Cubs on June 20. He gave up one hit and struck out five in that outing.
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