The Spurs midfielder is currently on loan with the South coast side until the end of this month but Spurs boss Harry Redknapp has revealed that Pompey have asked about extending the loan until the end of the season.
"I spoke to Avram Grant and he said he'd like to keep him," said Redknapp.
"I said let's see what happens between now and January. He's due to come back then but there's an option to stay."