Origi, 19, has impressed for his country at this summer's World Cup, leading to suggestions that a number of English clubs were preparing moves for the Lille forward.
"He has the qualities to play for a good team in the Premier League and I think he shows it every game," Vertonghen told reporters at a press conference.
"He has come on in every game, and he's changed games for us. He has the qualities to go to a bigger league, but obviously with Lille playing in the Champions League we'll see."
Liverpool reportedly lead the race for the teenager.