According to the report, an announcement could come this week, as early as tomorrow.
The Jaguars are playing the first of four games at Wembley Stadium in London over the next four seasons. Their first game in London this season is Sunday against the San Francisco 49ers.
The first game in London played this season was between the Minnesota Vikings and the Pittsburgh Steelers. The Vikings beat the Steelers 34-27, and it is their only win so far this season.
In 2014, the NFL scheduled three games in London, with the Jaguars, the Atlanta Falcons and the Oakland Raiders being set to play as the designated "home" teams.
More from ESPN.com:
Cowboys owner Jerry Jones has wanted to go play in London and it's the most attractive game on Jacksonville's schedule. After this season in which the Jaguars still haven't won a game, the NFL wants to match Jacksonville with a marquee franchise such as the Cowboys.