Provided are a knitted-fabric transferring method for a circular knitting machine, capable of surely transferring a knitted fabric which is knitted by a circular knitting machine and has a surplus portion such as a toe portion from knitting needles to transferring needles, and a knitted-fabric transferring apparatus. Transferring needles (34) are advanced in an axial direction of knitting needles (21), such that the transferring needles (34) and the knitting needle (21) are continuous with each other in the axial direction. A transferring sinker (49) is inserted into a space between adjacent knitting needles (21) from outside to inside in a radial direction of a knitting-needle cylinder. Final loops (26) of the knitted fabric (27) caught on the knitting needles (21) are pushed to the inside of a knitting-needle cylinder (19) by engagement claws (49e) of the transferring sinkers (49). A gap (G1) is formed between an internal surface of each of the knitting needles (21) and an inner loop (26a) preceding the final loop (26). The transferring sinkers (49) are moved from the knitting needles (21) to the transferring needles (34) in an axial direction of the knitting needles (21), such that the final loops (26) are transferred from the knitting needles (21) to the transferring needles (34) by the transferring sinkers (49). The gap (G1) enables smooth transferring of the knitted fabric (27) to the transferring needles (34) while preventing the final loops (26) from being engaged by a connecting portion between the transferring needle (34) and the knitting needle (21).