The two sides are set to meet for the first time since the original Wimbledon side was moved to Milton Keynes in 2002, sparking the foundation of a supporter-led club that claims to be the true heirs of the Crazy Gang.
"It's a great honour to have the armband," Gregory told the Hounslow Chronicle. "Neal (Ardley) has shown faith in me and I'd be delighted to lead the boys out on Sunday.
"We are more professional now than when we were non-league but the principles are the same. This club was built by the fans and everything is geared towards success through that.
"There is a new manager now and he's installed new tactics but most of the faces are the same. As a player it is just another game. You've got to try and approach the game professionally, block everything out on the outside, and do your job on the pitch.
"I've been here long enough to know what it means to people."