The Kenyan has played just 24 minutes of football in the Premier League this season, and is among a list of players Pochettino wants out in January.
Bhoys boss Neil Lennon admitted earlier this year that Wanyama was a loan target, but a move never materialised.
"There was interest but it never got off the ground. Could we look at it again in January? We'll have to wait and see. We might not want to with the balance of the squad now, as well as the affordability."