The France Under-21 international has been linked with Pompey for some time, with Redknapp understood to have sent scouts to watch him on a number of occasions.
He claims he has a number of options but admits he is tempted to move to Fratton Park.
"Portsmouth are interested in me. They are a possibility for me," Boukari said in the News of the World.
"I want to leave Lens. I'm not happy at continually being a substitute - I need to play regularly to make progress.
"We expect to find a solution soon."