Assistant general manager Rob Antony says both players will head to Class A Cedar Rapids and could be ready to return to the majors the following week.
He says Mauer (strained right oblique) will drive to Cedar Rapids on Sunday, work out Monday and start playing Tuesday. He might join the team in Houston, where the Twins play Aug. 11-13. A stop at Triple-A also is possible.
Nolasco (sore right elbow) will throw a bullpen session Saturday in Chicago, fly back to Minneapolis with the team on Sunday and work out Monday morning at Target Field before driving to Cedar Rapids. He will start Tuesday for Cedar Rapids.