The 25-year-old, previously linked with Everton, won't want to be reminded of his Champions League nightmare.
Former Tottenham target Javier Hernandez is set to be made available.
Danny Rose has the left-back spot nailed down but doubts over Ben Davies could yet force Spurs' hand.
Tottenham Hotspur and Liverpool are reportedly interested in signing former Manchester United striker Javier Hernandez from Bayer Leverkusen in the January transfer window.
Rojo was signed by Manchester United after the World Cup in Brazil in 2014.
There are many things in football that are incredibly beautiful.
Tottenham Hotspur are playing their Champions League games at Wembley this season.
Harry Kane trained with the Tottenham Hotspur squad on Tuesday morning, before the Champions League tie against Bayer Leverkusen at Wembley on Wednesday night, and it had been no low-key thing. The media were in attendance, having been invited to watch the opening 15 minutes of the session, and, as the pictures went out, a major narrative line looked to have been established.