Billy Bush thinks T.J. Holmes and Amy Robach clearly have something good between them, not just romantically but from a business standpoint ... so maybe a new show should be in their future -- so says Bush, who had a walk in the same shoes a few years ago.
We got the "Extra" host at LAX Thursday, and he says it's a shame they got the boot from ABC.
Billy might be the perfect person to give advice to T.J. and Amy ... as you know, NBC's "Today" pulled the plug on him back in 2016 after an infamous video/audio leaked of him and Donald Trump from back in 2005 -- laughing on a hot mic while Trump bragged about groping women.
Our photog asked Billy if he's learned his lesson about talking on a hot mic -- remember he was dragged for joking about Kendall Jenner's Halloween costume -- one where she dressed up as Jessie from "Toy Story" and there were "a lot of woodies," according to him.
Billy is unbothered, saying he will stay true to himself, whatever people think, and he clearly believes lots of folks in this country share that point of view.