The midfielder is on loan at Pompey from Spurs until January, but Storrie is keen on extending the stay or even make the move a permanent one.
“There has been nothing from Spurs that Jamie will be going back in January, nothing at all,” Storrie said in The News.
“As far as we are concerned, we have an option to keep Jamie until the end of the season. That can be taken up in January if he is enjoying himself – and he is.
“He’s happy at this club playing regular first-team football, which is the reason why the lad came here in the first place.
“You can see what a fantastic player he is when he starts matches consistently. Jamie has been excellent for us.
“He has been playing very, very well and obviously we would like to keep him until the end of the season.
“Perhaps there would be a chance of doing something permanent, we will have to wait and see.”