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The guitarist also told BBC Radio 1 that the band's five-year gap after their last album made them all appreciate the group more.
Hammond Jr said: "All of that, if anything, gave you perspective on what I find so beautiful about The Strokes.
"It really is something bigger than one person - a combination of things which couldn't happen without us."
He added that he would be "completely shocked" if the release of Angles did not mark a new era for the band.
"I see us completely making music together," Hammond Jr continued. "I see us doing a world tour in balance with a new record. We're going to tour."
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