The 26-year-old joined the club in the summer on a season-long loan from relegated Queens Park Rangers.
Remy has enjoyed a brilliant time on Tyneside so far after scoring five goals in five Premier League games.
The question of whether Newcastle will finalise a permanent deal is now being raised, although the player refuses to make any firm commitment on his future.
"I am really enjoying it at Newcastle, but what happens next I don't know," he said.
"For the moment the question of staying beyond my loan period is not in my head - it is a good question, but we have time to decide."
His boss Alan Pardew admits Newcastle already have a permanent deal in place with QPR, but it is not yet certain whether that will be pushed through.
"Loic's a player who has done terrific for us and a player that we'll perhaps look at going forward to bring to the club on a permanent basis," said Pardew.
"There is (something in place for him) but it's complicated and I can't really go into that in too much detail, but what I would say about him is that he's given us what we didn't have last year.
"That is a striker who can play, build the game and finish. As you're seeing with the goals he's rattling in here, he's got a nice manner about him, he's comfortable with our group, he has a confidence to play for Newcastle and that isn't easy, so we've been very pleased with him."