The Scott & Bailey actress starred as Sky Silvestry in series four Doctor Who episode 'Midnight' opposite the David Tennant's Doctor.
Of then show boss Russell T Davies suggesting that she could be the first woman Doctor, Sharp told Metro: "Yes, but I think he was kidding around. He's fantastic though."
Asked if she wanted the role, she replied: "I think Matt Smith's doing a wonderful job."
Sharp told The Guardian last year of Davies's original comments: ""It was immensely flattering to hear, but I think the chances of them getting an... old bird to play The Doctor are very slim."
The actress previously collaborated with Davies on Bob & Rose and The Second Coming and said of working with him: "I learned a lot from Russell T Davies, who is the most wonderful writer.
"He and I just agreed on how much we love television and how important it is. He's amazing. I learned a lot just from watching him on set and how he is with actors."