The Three Lions are keen on concluding the FA's 150th anniversary celebrations against Joachim Low's side and have picked a possible World Cup base
The Three Lions will also take on a non-European challenger, thought to be Australia or Argentina, on either Friday November 15 or Saturday November 16.
And while the date with Germany is not yet confirmed, Bevington has revealed plans to welcome Joachim Low's men to London to follow up Tuesday's World Cup qualification.
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"While I'm not in a position to formally announce that at this particular moment, I'd like to think that we'll play Germany as a final fixture of our 150th celebrations on the Tuesday of the international double-header.
"We'll also look to play a non-European opponent on the Friday or the Saturday of the November fixtures as well."
Bevington also shared details on England's plans for accommodations in Brazil next summer.
"The organising committee in Brazil have contracted the Urca base [as a training base for the World Cup]," he continued.
"We were the first team so that was our first option, and we are expecting that to be our training ground.
"The hotel we have earmarked is the Royal Tulip. It's a bit further around from the Copacabana, but it is still pretty central.
"When we go out to Brazil for the World Cup draw on December 6 we will also have a small group of people who will go to Rio as well and make sure that everything is in place there."