She then describes how he told her to spit into a cup "until he had measured it."
DailyMail.com has reached out to a representative of Drake for comment.
In June 2017, Morris filed a police report in the UK and hired her attorney in January 2018.
British authorities ultimately declined to pursue a prosecution against Drake citing a lack of evidence, according to documents submitted in her filing.
Last September, Drake filed a lawsuit against Morris claiming she had tried to extort him with phony pregnancy and rape claims.
The two parties reached a settlement in November 2018.
Morris is aggrieved that the settlement with Drake included a statement, which, she now says, portrayed the Canadian hitmaker as the victim in the situation.
She's also claiming that her attorney worked with Drake's attorney against her best interests.
In response, sources close to the God's Plan rapper told The Blast that by revealing the details of the settlement, which also included a requirement she not repeat her allegations of sexual assault, Morris is now in breach of said agreement.
Sources suggested that she will have to return the initial payment of $125,000 (NZ $190,000) that was made, as well as face possible claims for significant damages from the rapper.
As previously reported by TMZ, Drake has consistently maintained that the sexual encounter he had with Morris was consensual and that Morris "voluntarily performed oral sex".
The Toronto native, whose full name is Aubrey Drake Graham, said Morris then went on to create a "fantasy relationship" with him and had hoped to go on the road with him for the rest of his tour.
She later inundated him with text messages but Drake said he lacked the "time or energy to respond" to her advances, further infuriating her.
In April 2017, she announced on her Instagram that she was pregnant and later, according to Drake's September 2018 lawsuit filing, accused him of being the father.
After she allegedly refused to do a paternity test, Drake claimed Morris changed the story to accuse him of sexual assault and said her claims were a hoax designed to extort money from him.
"There is no credible evidence of pregnancy, nor any baby, which would have been born last fall," Drake said in his court documents.