Abstract: A collet adapter enabling use of a smaller collet in a larger spindle, the adapter comprising a reducer bushing externally configured so as to fit within the spindle and an internal configuration such as to receive the collet, the reducer bushing having an annular recess near the innermost end thereof, a draw tube adapted to engage a collet and positioned at least partially within the reducer bushing, the draw tube including a radial flange extending into the recess and spring means positioned in the recess around the draw tube for urging the draw tube axially forwardly in the reducer bushing, and means for connecting the draw tube for urging the draw tube axially forwardly in the reducer bushing, and means for connecting the draw tube to a collet actuating device.