Murdoch's company has been in talks with Yahoo over a transaction to combine News Corp's MySpace Internet social network and other Internet assets with Yahoo, a source familiar with the talks said earlier.
"We're not going to get into a fight with Microsoft, which has a lot more money than us," Murdoch told investors at the annual Bear Stearns media conference.
Microsoft has made an unsolicited $41.4 billion bid to buy Yahoo, which the Internet giant has rejected.
Time Warner Inc has also held talks to combine its AOL Internet division with Yahoo, another source said last week.