Neill, who played just seven games last season and most recently lined up for Sydney FC, is reportedly on the radar of the Saitama club.
Nikkan Sports reported the 35-year-old is being targeted by this season’s former league leaders as they attempt to arrest the slide.
Saturday only upped the sense of panic after the team was battered 3-0 at home by Cerezo Osaka.
“Neill is free so we don’t have to worry about the J. League transfer deadline on the 16th,” a club official said just one day after they jettisoned coach Zdenko Verdenik.
“But we’d like to get the deal done as soon as possible.”
Neill, who has also been linked with Major League Soccer in the US, needs to find a club if he wants to on the plane to Brazil next year.
Socceroos coach Holger Osieck recently said the veteran centre-back’s struggle to secure a contract was problematic for the national team.
The Aussie captain was missing from the recent East Asian Cup squad to conduct negotiations with clubs in the US and Osieck seemed confident he would sign there.
But just over a week later the German admitted Neill’s club future was an issue for Australia.
"It is a concern," Osieck said. "If he hasn't got a club and he's not playing, how can you play for the national team? I think he is aware of that."
The combative defender was a constant in the English Premier League during his days with Blackburn Rovers.
But since leaving Ewood Park in 2007, Neill has lined up for a succession of clubs in England, Europe and Asia.
He has notched up six moves in six years with stints at West Ham, Everton, Galatasaray, Al Jazira and Al Wasl before making three appearances for the Sky Blues.