That quote is from 1805, the second one I posted is from 1814, after he'd had 9 years more experience with a free press. Three years after that he wrote:
"From forty years' experience of the wretched guess-work of the newspapers of what is not done in open daylight, and of their falsehood even as to that, I rarely think them worth reading, and almost never worth notice." --Thomas Jefferson to James Monroe, 1816. ME 14:430
In your quote he requires "the press confined to truth". But in the above, he also claims that the press is not confined to truth. Maybe they should have, at least, that much restriction.