Might be true, might be false, but Timberlake's team saying it's false offers not an iota of proof. That's the standard answer when gossip columns come calling.
I imagine Page Six has confidence in the source that, at least, conversations are happening. It may very well not come to pass. But if it does, then Timberlake's team and the show's producers will want to release the news on their terms, not let it dribble out because Page Six happened to get a whiff of it. I would disregard his team's disavowals completely.