Gleeks, mark your calendars: Fox president Kevin Reilly is envisioning a May 2015 end date for the tale of William McKinley High School’s scrappy show-choir members (and alumnae).

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“Never say never, but… there’s two very clear arcs to get to that end and conclude [the series],” Reilly told reporters when asked about the future of Glee at the Television Critics Association summer press tour in Beverly Hills. “If we discover a new crop of kids and there’s some breakout, who knows. But right now, we’re thinking about two seasons.”

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The network ordered two more rounds of Glee — Seasons 5 and 6 — last April. So based on Reilly’s comments, the curtain will (likely) fall on New Directions & Co. at the end of Season 6.

Glee‘s Season 5 premiere was pushed back a week to Sept. 26 after the unexpected death of series star Cory Monteith last month.