O'Hara, 23, was loaned from Tottenham at the start of the campaign until January and has performed well despite the club being bottom of the table.
The former England Under-21 international also wants to stay for the whole season.
Please don't go: Spurs boss Redknapp has revealed Portsmouth want to extend midfielder Jamie O'Hara's loan deal beyond the New Year
'I spoke to Avram and he said he'd like to keep him if he can,' revealed Redknapp.
'I said let's see how it goes and see what happens between now and January.
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