Five months before this episode aired, O.J. Simpson was convicted of robbery and kidnapping and was sentenced to 33 years in prison. The title card saying that this episode takes place in 2007 was added to explain why Simpson is portrayed as being free. A line was changed stating that the murders of Nicole Brown Simpson and Ron Goldman happened 13 years prior.
Creator Seth MacFarlane has admitted in interviews that the recurring Conway Twitty cutaway is simply a way to pad the runtime of an episode.
When O.J. is in the kitchen, he tries to put on the oven glove but it doesn't fit. Just like in the trial, "If the glove doesn't fit, you must acquit."
In the extended version of this episode, when Peter is walking up to O.J. Simpson on the golf course, Peter asks Joe to do something that will make him relax. To make Peter relaxed, Joe sings the song "Landslide" by Fleetwood Mac.
Per the title, "The Juice" was one of the nicknames for football player O.J. Simpson (Orenthal James).