On the back of a hilarious 7-1 win over San Marino, Poland will look to extend their winning streak against the Three Lions.
And commenting on the threat of Poland, Southgate wants his side to do away with complacency as they chase for a 100% record in World Cup qualifying when they face Poland on Wednesday.
"We are in a good moment and the team is playing well," he said.
"We have a squad of players, any of whom are more than comfortable to play and are playing well.
"But also those moments are dangerous because, if we get any sense of complacency, we are going into a game that will be a challenge.
"It is a high level of motivation but also guarding against a feeling we are better than we are. We are getting a good set of results because we are working hard for each other."
Speaking on the qualities of his striker Harry Kane, Southgate believes the Tottenham star possesses the same features of Poland and Bayern Munich goal-poacher Robert Lewandowski.
"They are both very good at holding the play up and bringing team-mates into play," he told BBC Radio 5 Live.
"They are both outstanding finishers and there aren't that many old-fashioned number nines, if you like.
"In fact, neither of them are old fashioned in the way they play because of that ability to link and come deeper and play passes in behind, but I suppose a number nine is a focal point of the attack, rather than flexible forwards that might play wide at times or might play as an inside forward."
England are currently on top of the table with 15 points after winning their last five games.