Grant's arrest in Los Angeles (June 27, 1995), and his subsequent appearance on The Tonight Show starring Jay Leno, two days before the release of this movie, not only boosted the box-office take, despite unfavorable reviews, it also catapulted Leno's ratings over and above rival David Letterman's for the very first time.
The blonde actress who plays the girlfriend of Jeff Goldblum's character at the beginning of the film is also the same actress in the movie Mrs. Doubtfire that Robin Williams' character tries to hit on during the pool scene. Robin Williams also plays the role of the doctor in Nine Months.
Before Chris Columbus got to work with Robin Williams on Mrs. Doubtfire (1993), he had seen him in comedy clubs in Los Angeles, where he was blown away by his energy. He thought him one of the most impressive minds in terms of comedy. On stage, he was an impressive ball of fire.
As Hugh Grant is talking to the doctor, the doctor's name is Thatcher, that is seen by the name plate on the doctor's door by Hugh Grant's head, coincidence that he's British, Margaret Thatcher, is the late Prime Minister of England.