Gareth Southate insists there is still work to be done to qualify
They face Scotland, who got a late win against Slovenia to keep their hopes alive, next in June in what will be a tense affair.
England have won four from five games so far and are yet to concede a goal with five games left to play.
Jermain Defoe scored England's opener against Lithuania
Jermain Defoe marked his return to the England fold with a goal
Gareth Southgate got a win in his first competitive game since becoming full-time England boss
But Southgate isn’t getting carried away.
"The group is in our hands, which is the most important thing," Southgate said.
"We still have a lot to do.
England's player ratings against Lithuania
Sun, March 26, 2017
Express Sport brings you England's player ratings from their World Cup qualifier against Lithuania
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GK: Joe Hart – 7
"The home games (against Slovakia and Slovenia) are the important ones for us in terms of direct opposition in positions two and three at the moment.
"But we know what going to Scotland is going to be like and we have to go and play on a plastic pitch in Lithuania.
"There's still plenty to do and also we have got to keep looking to improve with every performance."