The movement of Sterling and others was causing Nigeria all sorts of problems, though, and the Manchester City forward was heavily involved again when he linked up with Harry Kane and Ashley Young before the latter was denied from point-blank range by a last-ditch block.
Nigeria had their first glimpse of the ball in the final third when, as the clock ran down, Victor Moses and Alex Iwobi became a bit more lively on the wings but they failed to connect with the attack.
Meanwhile, England's opening World Cup opponents Tunisia continued their preparations for Russian Federation 2018 on Friday, with a draw against Turkey.
"It is important for us not to think we can win the World Cup", Rohr said.
England showed their two faces against Nigeria by dominating and keeping possession in the first half but then after the break they struggled at the back as they allowed the opposition to take the game to them and put in risk their victory.
The England chief continued: "The second half, it would be easy to say we were complacent".
England's win ensured its unbeaten run is now at eight games, reaching back to its loss in France back in June a year ago.
The Tottenham midfielder - who played 82 minutes in England's 2-1 win over Nigeria on Saturday - believes temper flares are no longer an issue for him.
"It is to be expected but at the same time it would be nice if it was positive", Cahill said of the stories regarding England players leading into a big tournament. I don't think that was the case.
"It was wonderful to get on the pitch, that's all we work for is to be on the pitch week in, week out, and it was just really nice to get on the pitch and get the win". Last week in Port Harcourt we played Simy and saw what he can offer to the team. I did a lot of running on the pitch because we were always one man short on the defensive part of the game.
It's hard to read too much into global friendlies, but Gareth Southgate's side looked like World Cup contenders in the first half. Nigeria play the Czech Republic in a friendly on June 6.
But, the England manager insisted his player's adjusted to the new formation and were unlucky not to score more goals.
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