The right fielder is confident he will be back in action by the time the Red Sox play their next regular-season game on Tuesday in Oakland.
"Absolutely, right now that's my goal," said Drew. "I'd like to, at some point, get some at-bats in L.A. just to stay fresh and be ready to go, but if I'm not able to ... I'm not going to do anything stupid just to get some exhibition at-bats."
For the second day in a row, Moss batted sixth and played right.
The Red Sox play three games against the Dodgers in Los Angeles from Friday-Sunday. Drew hopes that his back will respond during the 10-hour flight back to the United States.
"We'll try to calm that down as much as we can the next couple of days," said Red Sox manager Terry Francona. "I don't know that a 10-hour plane ride will be the best recommendation, but we're not going to leave him here."
For Drew, it was a hectic few minutes trying to figure out if he'd be able to go on Opening Day.
"It wasn't easy. I had to find Tito and see if I could get on the field and actually run or not, but they had all the pregame stuff going on," said Drew. "It was getting closer and closer to introductions and they cleared all the people off, and I actually had to run a couple of sprints, and it wasn't good. From the time BP ended to the time the game, or the introductions were made, it tightened up a good bit. We were a no-go for sure."
Drew has had back problems in the past and felt that bowling in the offseason helped keep his core area strong.
He suspects the combination of the long flight to Tokyo and playing a couple of games on the Tokyo Dome turf might have been his undoing.
"Hopefully it's just a three- or four-day thing where it's kind of at the worst stages right now and it will just start getting better over the next couple of days," said Drew.
As it turns out, Drew's injury paved the way for Moss to be an Opening Day hero. Moss belted his first career homer, a game-tying blast in the top of the ninth. The Red Sox won it in 10 innings.
"I'm sure he was very excited, as he should be," said Francona. "First Opening Day, regardless of where you're playing, ninth-inning home run. Base hit [earlier in the game]. He played a good game."
Ian Browne is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.