The It's A Sin star and Years & Years frontman denied he is in talks to become the new Time Lord, but he paid tribute to the cult sci fi series in a pun-filled statement insisting he is focusing on his music career.
Alexander's agent, Martha Kinn, told RadioTimes.com: “Even though Olly is often contacted by Cybermen, I’m afraid I have to exterminate this speculation. As nice as it is to see interest in this story regenerate, it just isn’t true."
She added: "As Ood as it might sound, Olly is focusing on his music, for the time being.”
Watch: Olly Alexander is reportedly in "advanced" talks about taking over from Jodie Whittaker on 'Doctor Who'
Alexander's response follows a report by the Sun on Sunday that claimed he was "thrashing out final details with BBC bosses to replace Jodie Whittaker".
The 30-year-old actor and singer was lauded for his performance at this year's Brit Awards with Sir Elton John. The pair unveiled their charity cover of the Pet Shop Boys' hit It's A Sin at the music awards ceremony in a dramatically staged duet.
He recently starred as Ritchie in the critically acclaimed Channel 4 drama It's A Sin about the lives of young gay men living in London in the midst of the AIDS/HIV crisis of the 1980s.
The hit show was written by former Doctor Who writer Russell T Davies.
Jodie Whittaker, 39, confirmed earlier in the year that she is to step down as the 13th incarnation of The Doctor in the long-running BBC series.
There has since been much speculation as to who will replace her as the next Time Lord.
Whittaker was the first full time female Doctor in the show, which launched in 1963.
She took over from The Thick Of It actor Peter Capaldi in 2018.
In series 12, which aired last year, Holby City star Jo Martin appeared as Ruth — who revealed herself to be a previously unseen regeneration of the Doctor — the first time the role has been played by a black person.
Watch: Olly Alexander perform with Elton John at the 2021 Brits