Gerrard is only six caps shy of Beckham's record of 115, which he would equal by featuring in all of the Three Lions' pre-tournament friendlies and group-stage matches.
"It is a target but it's not a very important one," Gerrard said. "It's not one I've thought about a lot but I have thought about it.
"To get close to David Beckham, to match him, or to go ahead of him would be an unbelievable achievement.
"He's a hero of mine, I was lucky enough to play with him. He's a top role model and a top player as well.
"I have thought about it and it would be very nice from a personal point of view. But you guys know me well enough now to know what my targets are and that's to get out of this group.
"It's a tough group, every game is going to be tough but I believe and I'm confident that we're capable of getting out of it."
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