Private-equity firm TPG was also expected to submit a second round bid for the assets before Monday's deadline, the newspaper reported.
Reuters reported last month that Verizon was working on a bid for Yahoo's core assets with an investment bank.
Yahoo is expected to hold at least one more round of bidding, and the offers could change by the final round, the paper reported.
Yahoo, Verizon and TPG could not be immediately reached for comment outside regular U.S. business hours.
© Thomson Reuters 2016