The newspaper reported that Abe will officially announce his decision on the matter in mid-April.
The Sankei Shimbun attributed Abe's stance to the longstanding dispute over the Kuril Islands. The four southernmost islands in the Kurile archipelago were taken by the Soviet Union around the time of Japan's surrender in WWII, although the countries had contested control of the area since the 19th century.
Earlier, Russia's presidential chief of staff Sergei Ivanov said that Russia will survive if foreign invitees don't attend the WWII Victory celebrations in Moscow.
According to him, 22 heads of state have already confirmed their participation in Moscow's Victory Day celebrations; they mainly include the leaders of CIS and Asian countries, as well as Israel.