Southgate, too, is undefeated, although he is yet to be officially confirmed as England’s permanent manager, having taken over on an emergency basis following the departure of Sam Allardyce.
England are still to capture the imagination on Southgate’s watch, having beaten Malta 2-0 and Scotland 3-0 and drawn 0-0 in Slovenia, but Lopetegui believes they are showing signs of progress.
“I think England are improving,” said the former Porto coach.
“They show different skills in the offensive phase and I think they are trying to work on the offensive phase.”
Asked about the similarities between himself and Southgate, Lopetegui replied: “You can see that. He has the challenge now. I think he’s doing a very good job and I wish him the best.”
Lopetegui will be without senior players Sergio Ramos, Gerard Pique, Jordi Alba, Andres Iniesta and Diego Costa due to injury against England.
Sergi Roberto, Cesar Azpilicueta, Isco, Nolito, Juan Mata and Jose Callejon could all start, while Manchester United midfielder Ander Herrera is in line to make a belated senior debut aged 27.
Manchester City playmaker David Silva trained apart from the rest of the squad on Monday, casting some doubt over his participation in the game.