It looks as though Solo: A Star Wars Story will contain a Kessel Run or at least some sort of reference to it within the narrative of the film. This was confirmed by the LEGO Star Wars Set 75212 which is titled "Kessel Run Millennium Falcon". It was revealed at Toy Fair 2018 and is the cleanest looking version of the ship we've seen in the series. This Anthology film will follow a young Han Solo on an adventure with his new crew. It has some young faces that fly this pristine version of the Falcon.
We can't be sure at this point whether the run has been completed prior to the events of the movie, but it's fairly certain that the big moment that's always talked about will be displayed upon the screen. Whether that's a needed moment in the series is up to the individual, but this LEGO essentially confirms that the Kessel Run will play a role or at least get a mention in Solo: A Star Wars Story. There's an image of the amazing Falcon set below.
View our Star Wars Movies Hub
Read our Star Wars: The Last Jedi Review