The Los Angeles Angels recently scouted Masahiro Tanaka and are considering a pursuit of the undefeated Japanese pitcher this offseason, the Los Angeles Times reported.

The Angels had a scout in Japan last week to watch Tanaka, who could cost the team a posting fee of $25 million, according to the paper.

The Dodgers have also scouted the Japanese right-handeder, a source told ESPNLosAngeles.com's Mark Saxon.

The Dodgers signed a 19-year-old Japanese prospect, Takumi Numata, to a minor league deal Monday. They likely scouted Tanaka while they were there.

Tanaka set a Japanese professional baseball record for consecutive victories in a season by winning his 21st straight decision last Friday.

Angels starters entered Tuesday with a 4.37 ERA, the eighth-worst mark in the majors, and Jason Vargas, Jerome Williams and Tommy Hanson all are scheduled to be free agents this offseason.

The Dodgers will go into 2014 with Clayton Kershaw, Zack Greinke and Hyun-Jin Ryu in their rotation, but they have some uncertainty beyond that. Ricky Nolasco will be a free agent and Chad Billingsley and Josh Beckett are coming off serious injuries.

Tanaka improved to 21-0 with a complete-game win in the Rakuten Eagles' 6-2 victory over the Orix Buffaloes. The previous record of 20 was set in 1957 by Kazuhisa Inao.

The last time Tanaka took a loss was Aug. 19, 2012. Since then, the right-hander has won 25 straight, one more than the Major League Baseball mark set by Carl Hubbell of the New York Giants in 1936-37.

Many in Japan are suggesting that Tanaka, 24, will pursue an MLB career after the season, a move that would make him the most sought-after Japanese export since Yu Darvish.

Information from ESPNLosAngeles.com's Mark Saxon and The Associated Press was used in this report.