Sources with direct knowledge tell TMZ ... the news channel is doing everything it can to sweeten the deal for Tucker to come on board -- including floating the idea of letting him program the whole channel, not just his own show.

That would be a pretty enticing deal point ... in addition to having his own primetime show, Tucker would have a say over what shows lead into and out of his show, which can be key in achieving bigger TV ratings.

While our sources stress Newsmax hasn't formally offered Tucker a job -- he can't have formal discussions due to his current Fox News contract -- we're told the network execs have made it clear to people around him, they would basically give him a big say in rebranding their channel.

Newsmax has some competition for Tucker ... as we first reported, NewsNation is showing early interest as well.