"He texted me this morning and didn't go into detail, but she was ready," Roenicke said.
Major League rules allow for three days of paternity leave, but if all continues to go well on the home front Overbay might return a day early, in time for Saturday's game against the Pirates. In the meantime, the Brewers promoted utility man Elian Herrera from Triple-A Nashville to take Overbay's place.
Herrera can play all over the field, including shortstop and center field. If the Brewers need a backup for first baseman Mark Reynolds while Overbay is out, Roenicke said he could use catchers Martin Maldonado and Jonathan Lucroy or infielder Jeff Bianchi.
"We're covered there," Roenicke said.
Adam McCalvy is a reporter for MLB.com. Read his blog, Brew Beat, and follow him on Twitter at @AdamMcCalvy. This story was not subject to the approval of Major League Baseball or its clubs.