Townsend is out of favour at Tottenham at the moment, and it does not look like that he has a future at White Hart Lane.
The England international winger has featured in just three Premier League matches for Spurs so far this season, creating only two chances in the process.
West Brom will face competition to secure the services of the 24-year-old in January, though, with a number of Premier League clubs reportedly interested in him.
Meanwhile, Lawrenson has suggested that Saido Berahino’s time at West Brom is coming to an end. The youngster has been in disappointing form so far this season and has lost his place in the Baggies' starting lineup.
The 22-year-old striker did not start the Premier League game against Newcastle United at The Hawthorns on Monday afternoon.
West Brom manager Tony Pulls was critical of Berahino after the match and suggested that things are not great behind the scenes.
"He's lucky to be on the bench, never mind starting,” BBC Sport quotes Pulis as saying. “He’s a smashing kid but lets himself down at times.”
Lawrenson has given his take on the situation and has told BBC Sport: "Saido Berahino and West Brom seems to be over as a relationship - Tony Pulis said everything by saying nothing the other day about the player and the England Under-21 international seems to have made up his mind to go.
"If Pulis gets £20m for him that will be an absolute bonus for him - he won't move until that deal and the funds are secure.”
Berahino has managed to score just three goals and has created only three chances in 14 Premier League appearances so far this campaign.