The owner has been discussing the end of the current season as well as the next.
Forest have been in impressive form since Dougie Freedman replaced the hapless Stuart Pearce but still find themselves 10 points off the play-off places with seven games to go of the Championship campaign.
But Al-Hasawi says the club's season is 'very much alive' and wants Freedman's men to try and go as far as they can this term.
And the Nottingham Forest chairman admits nothing would make him happier than reaching those play-off places and having a go at getting promoted to the Premier League.
"This season is still very much alive and nothing would make me happier than to see us move into the top six," he told the club site.
Should Forest remain in the second tier, of course, they would still be extremely well equipped with regards to attempting to achieve promotion next season under Freedman.
And Al-Hasawi has stressed that that campaign will be a special one for the club regardless of the division they find themselves in.
Indeed, the Nottingham Forest owner is looking forward to celebrating the side's 150th anniversary, revealing that Forest have several plans in place for doing so.
"We have now reached the time of year where preparations begin for the next campaign - and 2015-16 will be extra special no matter what division we find ourselves in.
"Next season will be a historic one for the club - a time of reminiscence and celebration of everything this club has achieved, and everyone who has helped along the way."