Woodgate moving back to Boro
The 32-year-old is a free agent having played for Stoke City last season.
The club said on their website that Woodgate is close to starting a second spell at the Riverside Stadium, where he played 52 times after an initial loan move from Real Madrid six years ago.
Boro eventually paid the Spanish giants £7million for Woodgate on that occasion before an £8million move to Tottenham Hotspur in January 2008.
The former Leeds United youth player has commanded in excess of £35million in transfer fees despite suffering an injury-stricken career.