Red Sox spokeswoman Pam Kenn confirmed Wallach's interview.
"It's a great opportunity with one of the best organizations in baseball," Wallach told ESPNLosAngeles.com's Ramona Shelburne Thursday.
The Red Sox had asked for and were granted permission by the Dodgers to interview Wallach, a team source said.
Next in line for the Red Sox will be San Diego Padres special assistant Brad Ausmus, who will interview next week, the source said. The longtime catcher interviewed for the Houston Astros' managerial vacancy but later withdrew from the process.
The Red Sox, according to a team source, are looking for someone with big-league managerial, coaching or playing experience, which is why Triple-A manager Arnie Beyeler will not be considered for the position. Beyeler, who just led Pawtucket to the International League championship but has no major-league experience, will be retained by the Sox, the source said.
Blue Jays manager John Farrell is still "at the top of the list" of candidates, a team source said, but the former Red Sox pitching coach has not heard whether Boston has approached the Blue Jays about speaking with him, according to a league source.
The Red Sox made overtures to the Blue Jays about Farrell last year after Terry Francona was ousted. But the Blue Jays denied them permission and ultimately changed their internal rules for taking a job with another team, saying they would allow movement only in the event of a promotion.
Blue Jays first-base coach Torey Lovullo, another potential candidate for the job left vacant when Bobby Valentine was fired last week, has not heard from the Red Sox, according to a league source. Nor has Chicago White Sox third-base coach Joe McEwing, who talked with the Sox about the vacancy last offseason.
Wallach, 55, is a former five-time All-Star third baseman who managed the Dodgers' Triple-A team in Albuquerque for two seasons in between stints as Los Angeles' hitting coach and third-base coach.
Wallach guided Albuquerque to a franchise-record 80 wins in 2009, and was named the Pacific Coast League's manager of the year.
The 43-year-old Ausmus was a catcher in the majors for 18 seasons and has been a special assistant to the Padres since 2010.
The Red Sox fired manager Valentine last Thursday, one day after completing a disappointing 69-93 season. Their managerial search will begin in earnest Friday after team CEO Larry Lucchino returns from a brief vacation in Europe.
Information from ESPNBoston.com's Joe McDonald, ESPNLosAngeles.com's Ramona Shelburne and The Associated Press was used in this report.