Virgil van Dijk claims he knows nothing of interest from English clubs and is keen to prove himself in the Champions League with Celtic.
QPR loanee Tom Carroll wants to "make it at Tottenham" but is prepared to consider all of his options at the end of the season.
Pritchard, 20, a reported target for Liverpool recently, has impressed for Spurs' youth and reserve sides but has yet to make a first-team appearance for the Barclays Premier League club.
Posh chairman Darragh MacAnthony said via Twitter: "Delighted to announce loan signing of Alex Pritchard from Spurs who has joined until end of season. He is a fantastic young talent.
"Myself & Gaffer watched this young lad destroy our reserve team couple weeks ago scoring 4 goals from playing left wing / right wing / attacking midfield."