Gareth Southgate has promised changes as England wrap up their World Cup qualifying campaign in Lithuania, with Jack Butland among those with a chance to impress.
England, which hasn't missed a World Cup since 1994, could still be joined in Russian Federation next year by neighbor Scotland.
Questions still remain over Hart's status as England's first choice goalkeeper after two seasons on loan from Manchester City and a poor showing at Euro 2016.
"They might find it hard to find much love for me with my history with England!".
Striker Harry Kane scored the only goal for England, in injury time, to finally overcome Slovenia, who are ranked only 55th in the world.
The in-form Kane had been quiet throughout a listless Three Lions performance but nudged home Kyle Walker's low cross to break the deadlock in the third minute of added time at the end of the second half.
However, Kevin Keegan goes against that theory, believing that Southgate's men can follow in the footsteps of the England side of 1966 providing Harry Kane and Dele Alli stay fit. Players like Kane and Rashford tried but were frustrated by the Slovenians, who themselves threatened to hurt England on the counter. But John Stones has played in a three-man defence under Pep Guardiola at Manchester City and is ideal for bringing the ball forward, while Gary Cahill captains league champions Chelsea from the left-centre role of a three.
Southgate said: "Slovenia defended resolutely and we weren't as sharp as we'd like to be".
I see Harry being one of the best in the world in terms of form.
He said: "The tendency is to go with players with first-team experience because you have evidence of how they will react".
Joe Hart has conceded 13 Premier League goals for West Ham this season. It is too long since England had a player of potential world class, but Kane is quickly moving up the ladder.
Ironically just a few hours before the 1-0 win at Wembley, English FA chief executive Martin Glenn cited mental frailty has the root cause of England's recent failures at the business end of global tournaments.
In the centre, Eric Dier plays a physical holding role for Spurs and has generally performed well for England. I think we will create a base camp that the players enjoy being at.