According to the Cut, Constand reiterated testimony that she previously told police in 2005: Cosby invited her to his residence, where he gave her three pills for stress that he told her were herbal and would help her "relax". "I wanted it to stop", she said.
Constand said that, after she took the pills, Cosby led her to the couch and she lost consciousness.
"I told them the truth", Constand told defense attorney Angela Agrusa.
Constand, a former Temple University employee, said she had viewed Cosby as a mentor.
The only woman to secure a trial against Bill Cosby for sexual assault has taken the stand - breaking her silence of more than 10 years and telling a jury that the once-celebrated entertainer drugged and assaulted her in 2004. Cosby was not charged with any crimes at the time of Constand's original allegations, but he did settle a civil suit with her out of court in 2006.
Constand, who is gay, says the sexual contact with not consensual.
She also said she feared Cosby, 79, would "retaliate" by hurting her or her family.
"I wasn't able to", Constand said. "I wanted guidance and I wanted to protect myself", Constand explained.
On Wednesday, Cosby appeared to be listening closely to Constand's testimony, his head turned slightly to the side while Brian McMonagle, his other defense attorney, sat next to him.
Ms Johnson, who worked for a talent agency representing Mr Cosby, alleges she woke up partially clothed in the comedian's bed with him behind her, grunting, before he forced her to touch his genitals. Constand claims that she replied, "I did not, I just want to know what you gave me", to which Cosby did not give her a clear answer. "I trusted him. I wasn't scared of him in any way". Cosby is one of Temple's most famous alumni and a big supporter of the team.
Agrusa has suggested that Constand once enjoyed a romantic dinner by the fire at Cosby's home before the alleged assault. Cosby and Frazier were on screen together in the 1978 comedy "California Suite", which also starred Jane Fonda and Alan Alda. After taking the pills, Constand testified her vision became blurred and her arms and legs became weak.
"I don't condone sexual assault in any way, shape or form, but, at the end of the day, our court system is set up ... you're innocent until proven guilty..." she said. "My mouth was very cottony".
Constand will be back in the witness box again on Wednesday as Cosby's lawyers continue their cross-examination. "I really didn't see a problem in it at all [giving him my personal cell phone number]".
"I was jolted conscious, jolted awake, and I felt Mr. Cosby's hand groping my breasts, under my shirt", she recalled.
"I felt his hand inside my vagina, moving in and out. He was sitting there and he was like rubbing his hand over his head and looking down and I think she had him rattled".
"He looked at me and said, "I thought you had an orgasm, didn't you?'" she said".