Dodgers runner Matt Luke tries to score in a recent exhibition game against Baltimore Orioles
Mr Murdoch's Fox group was granted permission to sign a deal with its current owners last week. The Australian-born media mogul will pay nearly $350m (£220m) - the highest price ever for a professional sports club.
The Dodgers, one of baseball's most legendary franchises boasting huge global appeal, announced a new management team last week in anticipation of the deal.
However, the transaction still requires approval from three-quarters of National League owners and a majority of American League owners.
San Diego Padres owner John Moores is among those opposed to the sale, fearing that media magnate Murdoch will drive up baseball's salary scale.
Carrot and stick
Rival media giants Time-Warner and Disney have kept payrolls to a minimum in anticipation of Murdoch-mania. Salary costs are rising more as a result of big spending by American League owners Peter Angelos of Baltimore and George Steinbrenner of the New York Yankees.
Another worry is how Mr Murdoch's money might cause teams to make deals beneficial to the Dodgers in return for a richer television package. The same carrot-and-stick approach could also be used to prevent clubs from dealing players to Dodgers' rivals.
Mr Murdoch's dealings in other sports, such as creating his own high-priced rugby league in Australia, are also making owners wary.