We investigate Bose-Einstein correlations in W-pair production at LEP. In particular, attention is paid to the possible existence of these correlations between particles originating from different W's. The data sample corresponds to a luminosity of 627 pb$^{-1}$ collected by the L3 detector during the years 1998-2000. No evidence for inter-W Bose-Einstein correlations is found. This result is preliminary.