The president was speaking at a White House press conference when he was asked by a journalist if Maxwell will "turn in powerful men" - including Prince Andrew.
The Duke of York is a person of interest to investigators because of the long-term friendship he admits he had with Epstein - but has vehemently denied claims made against him and denies ever being witness to wrongdoing
President Trump said: "I don’t know, I haven’t really been following it too much.
"I just wish her well frankly. I have met her numerous times over the years, especially since I lived in Palm Beach and I guess they lived in Palm Beach.
"But I wish her well, whatever it is."
He added: "I don’t know the situation with Prince Andrew. I just don’t know. I am not aware of it."
Maxwell was told by a New York judge last week when she appeared at a court via videolink that she will remain in custody while awaiting trial on charges of trafficking minors for Epstein.
Maxwell, who pleaded not guilty, will go on trial in July 2021.
Andrew stepped down from public royal life in November last year after his car crash Newsnight interview in which he failed to show remorse over his friendship with Epstein, who took his own life while in prison.
One of Epstein’s victims, Virginia Giuffre, who claims she was trafficked by the financier, alleges that Andrew had sex with her on three separate occasion - including when she was 17, still a minor under US law.
Andrew, who categorically denies any wrongdoing, has been urged to come forward and be interviewed by US prosecutors.
These calls were renewed after his friend Maxwell appeared in court accused of facilitating Epstein’s sexual exploitation of underage girls.
Andrew’s legal team has stressed he has made three offers to help with investigations.