The Three Lions will discover who will join them in Group D when the must-anticipated draw is made in Bucharest.
England could end up facing both holders Portugal and world champions France but will have home advantage, with all three of their group games taking place at Wembley.
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And Southgate feels their run to the World Cup semi-finals in 2018, and to last summer’s Nations League finals, means other teams should be worried about facing England.
“I think we’ve gained some respect and I think people would view us as a threat, which certainly wasn’t the case ahead of Russia,” he told BBC Sport.
“We also know we have got to improve to another level. It’s hard to assess exactly where we are after this qualifying campaign, but if we looked at the World Cup semi and the Nations League semi, we’ve done all we could in terms of qualifying with the most goals in Europe, so we are on a good track.