Maguire opened the scoring after half an hour from a corner with a thundering header, while Dele Alli wrapped up the win with a header of his own after half-time.
"Of course, when you sit and think about the people who've got to this point before, people I hugely respect and admire, it's hard to put that into perspective, really".
In May the accountant promised he would get the names of all the squad members tattooed onto his body if the Three Lions ever made it to the quarter finals.
Dubbed "one of the nicest guys on the diplomatic circuit", he tweeted to congratulate England and admitted they had been the stronger team.
'I remember saying to him: "OK, why don't we try and be as good as we might be now?"
The Swedes have plenty of time for a nap before they take on England at 1700 local time (1400 GMT), with hosts Russian Federation facing Croatia later in the evening in Sochi.
Former Thai Navy Seal dies trying to rescue boys trapped in cave
The best window for a rescue could come in the next three or four days, the leader of the rescue effort said on Saturday. I really want to go back as fast as possible. "Thank you for all the moral support and I apologise to the parents".
"Without the commitment of a couple of wives who have let their husbands come back having given birth - I hope they all feel really part of this now because we don't do that without everybody's support".
"I'm not sure he's always believed that but he's a super talent, a super player and his use of the ball is as good as any defender in the tournament".
Despite the euphoria, the paper found fault with England's victory.
"I cant speak highly enough of the whole squad and whole group of staff because it is so united in there".
Before today's game, #GarethSouthgateWould had been doing the rounds on the social media site. Burgundy Lion co-owner Paul Desbaillets wouldn't give exact figures, but said English fans have been fairly thirsty, and not just for a win. I mean, Italy is not playing this World Cup and a lot of Italians have chosen England as their favourite. "To be honest, England's World Cup is very similar to in 2006 when Italy won and even if they don't say it out loud they think it's coming home!"