Crawford is expecting the birth of his child any day and will be on paternity leave.
"The way I understand it, Carl's not going," Mattingly said.
As for Haren, he'll join Zack Greinke and another to be determined player as one of three Dodgers exempt from the Australia games but able to appear in the club's North American opener on March 30 in San Diego.
"As of right now, Haren won't be on the plane," Mattingly said. "Danny knows that. He also knows that anything could happen in the next two days."
In place of Crawford in left field, Mattingly said matchups will determine who will get the nod both days. So with D-backs left-hander Patrick Corbin slated to start the opener, the right-handed hitting Scott Van Slyke is likely to be penciled in for Game 1.
Mattingly also said the Dodgers will take three catchers to Australia: A.J. Ellis, Tim Federowicz and presumably, Drew Butera.
Tyler Emerick is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.