Only Ryan Bertrand, Gary Cahill and Daniel Sturridge have tasted Champions League glory from the current England squad too, doing so with Chelsea in 2012, and Southgate believes that it is wrong to compare them to leading players from the likes of Spain and Germany.
"Well, are they big players until they win? We're talking about big players because of transfer fees or because they are playing in the Champions League. When we are in semi-finals, finals, winning trophies, then I think I think we're big players. Until that point, for me, we have it all to prove," he told reporters.
"I am the same as coach, so I don't disassociate myself from that. But we can't consider ourselves big players. Big players are [Gerard] Pique, [Sergio] Ramos, [Sergio] Busquets, [Toni] Kroos, [Sami] Khedira, [Manuel] Neuer - I could go on. That's what big players are.
"We create a bubble in our country around the league because of the money, because of the profile of it. We have it to prove. No problem, these guys are hungry to prove it."
England take on Lithuania in their final World Cup qualifier on Sunday knowing that their place in next summer's tournament is already secured.