In a textile machine provided with a doffing and donning apparatus utilizing a conveyor belt for temporarily supporting full size yarn packages doffed from the textile machine and carrying the yarn packages outside the textile machine and for temporarily supporting fresh bobbins supplied from a fresh bobbin supply device mounted on an outend frame of the textile machine, a method and device for transferring fresh bobbins from the bobbin supply device to the respective pegs of the conveyor belt when the conveyor belt is driven before starting the donning operation. When the conveyor belt is driven so as to pick up the fresh bobbins by the respective pegs, each peg is inserted into the bottom bore of the corresponding fresh bobbin in such a way that the head of the peg approaches the bottom bore of the fresh bobbin along a passage inclined to a plane along which the fresh bobbins are supported.