Lingard will be hoping to earn a place in Southgate's World Cup squad for this summer's tournament in Russian Federation.
He said: "Definitely not. So if Eric Dier or Kyle can play in central defence, I could take more attacking players".
And the England manager revealed that he had chose to play Walker in the role after seeing him impress in City's defence this season. "I'll always give 100% for the team".
Not only did Manchester City's Walker adjust well to his unaccustomed role, although it needs to be kept in perspective because the Dutch opposition was so lame, it also opened up new possibilities for the make-up of Southgate's squad.More news: Shots to Kill Unarmed Black Suspect in USA
Meanwhile, former Southampton and Everton manager Koeman said: "Defensively we played quite well, but didn't create many chances". You need to comfortable defending in wide areas. "We used the ball really well for 60, 65 minutes". It is a position where he kind of ends up with Manchester City and of course he has a club understanding with John Stones.
Explaining the reasoning behind the positional switch, he said: "He has the attributes to play the position really well".
"They managed to make use of the overloads we had in the right areas, so I was pleased".
Many tougher tests await Southgate's emerging construction than a pretty tame night against a weak Holland working through their...
Who did Phil pick as his man of the match? .More news: Israel bombs Hamas target, responding to cross-border provocation
"I'm delighted for Jesse, he's a player we've worked with for three or four years, in the U21s as well".
Fans shouldn't take too much from victory over a poor Netherlands but Gareth Southgate has a secret weapon in Lingard going into the tournament in Russian Federation.
Away from the pitch there were worrying scenes, with some 90 England fans arrested by Amsterdam police ahead of the game.
"I heard some of the booing of the anthem which obviously isn't acceptable", Southgate told a post-match press conference later.
"So, anything else that takes away from that performance for them would be a great shame".More news: Greg Bird scratched from lineup with foot soreness