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Goldberg, 65, admitted she had her eyes set in playing the character before Whittaker was even on board, but was turned down by BBC bosses.
Speaking to SFX Magazine, Goldberg explained she'd been chatting about her Doctor Who dreams to Tom Baker, who was the fourth Doctor from 1984 to 1981.
She said: "I wanted to be the first female Doctor, but they have one.
"I said to him, 'I love the idea of an American Doctor Who'... I'm still trying to do it."
And it's not the first time the legendary actor has spoken about her desire to take on the long-running sci-fi brand.
Back in 2019, she was chatting to another of the show's former stars about how she'd offered to become the first female Doctor Who.
Speaking on David Tennant's podcast, David Tennant Does a Podcast With..., Goldberg said producers sadly declined the idea, saying she had 'wanted to be the first female Doctor', adding: "The American version of Doctor Who ends up in New York and it's me."
She continued: "We don't have a Doctor Who. We don't have that character who is travelling through dimension and time, and being an observer - sometimes a hindrance, sometimes a help. The idea of that just so made me happy."
Goldberg said bosses ended up turning her down, recalling: "They were like, ''Um, no'.
"So I was like, 'OK, I'm cool. I understand'."
The podcast's host, David Tennant appeared as the Doctor between 2005 and 2010 - and was recently voted the best Doctor Who in a public vote.
Smashing tough competition from Tom Baker, Jon Pertwee and more recent Doctors such as Christopher Eccleston and Jodie Whittaker, Tennant scooped 10,518 votes from almost 50,000.
Hot on his heels was current Doctor Jodie Whittaker who had 10,423 votes, while Peter Capaldi came in third place with 8,897 votes, Smith had 7,637 and Baker 3,977.
On the other end of the table, Peter Davidson pulled in just 351 votes.
Surely there's room for Goldberg in that lineup? I, for one, would love to see it.
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