Korski denies the allegation and has said he was not aware of an official complaint being made against him.
The Conservative Party has refused to be drawn on the individual case and has not conducted an investigation into Korski.
Harrow MP Robert Halfon has paused his support for Korski in the wake of the allegation.
A former BBC producer, Ms Goodwin, has spoken about an alleged sexual assault by a spad (special adviser) in No 10, which she believes was committed by Mr Korski who is now in the running to become the Conservative mayoral candidate.
Ms Goodwin said that she was not frightened by the incident and framed it as an anecdote about the spad who groped her in No 10.
Prime Minister Rishi Sunak's spokesman said that the PM would expect allegations of harassment to be investigated in any walk of life.
Labour leader Sir Keir Starmer said that Mr Korski has "clearly got to answer" questions about his alleged behaviour and there is concern about a "sort of pattern of behaviour in politics."
LONDON DAILY ARCHIVE
Former Downing Street Aide Denies Allegation of Sexual Assault in No 10
A former Downing Street aide, Daniel Korski, has acknowledged that he told Conservative officials about an allegation that he groped a TV producer in No 10 during his selection as a potential candidate to become London mayor.
28 June 2023 · 03:46 UTC
