Roberts, 42, said Gaga would really fit in as a guest star on the long-running cult British science fiction series with her fondness for dressing up.
“She is no stranger to dressing up and would be more than a match for the Doctor,” the New York Post quoted Roberts as telling OK! Magazine.
“It would be a great coup to get her,” he added.
He has even gone so far as to create a storyline, which he is yet to reveal, for a potential guest-starring role for Gaga, who has not signed for the role as yet.