A model of dodging (random) walk is proposed for the excluded volume effect between the chains in linear polymers, and computer simulations were performed for four model systems. The calculated results indicate that: (1) the relationship between the end-to-end distance of the coils 〈R2〉 and the walk steps N is still linear, same as that of the random coil; (2) but the coil size is suppressed compared with that of the random coils; and (3) the suppression of the coil size produced by dodging in the case of headon encounter is stronger than that in the case of walking abreast.