In an interview with Mike Okuda in Journey's End: The Saga of Star Trek: The Next Generation, it was stated, and shown on his computer-generated dedication plaque, that the USS Pasteur was of the Hope-class, named after the WWII hospital ship, USS Hope (AH-7). It was later revealed in the Star Trek Encyclopedia that the name "Hope-class" had only existed in an early version of the plaque, and was later renamed as Olympic-class, honoring the original name of Bill George's model.
An image of the Olympic-class, drawn by Doug Drexler for use in the Encyclopedia, which first appeared on an okudagram in "All Good Things...", would also later appear on a background bridge monitor in "Sacrifice of Angels".
The ship itself had been previously designed and built by ILM's Bill George in his spare time a year earlier as an homage to one of the earliest design sketches that Matt Jefferies created for the original Enterprise and he offered it for usage in the upcoming episode. According to the script, the Pasteur was described as "a small and sleek vessel with the 24th century equivalent of "Red Cross" markings."  "Bill's model was perfect for the Pasteur, because the spherical front would hold more beds than a sleeker shape like the Enterprise. It's a very stately, peaceful looking ship which is exactly what we needed", Visual Effects Producer for the episode Dan Curry elaborated. (Cinefantastique, Vol. 25, No.6/Vol. 26, No. 1, pp. 64-65) Normally the series' policy forbade accepting unsolicited models, however due to extreme time pressures at the time of production of All Good Things..., co-producer Peter Lauritson got dispensation in this one instance. (Star Trek: The Next Generation Companion, 3rd ed., p. 303) The model has the distinction of being one of the very few studio models that was neither commissioned by the studio nor designed or built by Star Trekテンプレート:'s own production team (the other ones are the Batris and the Promellian battle cruiser}. George originally named his model USS Olympic, though the registry has been maintained.  That name was carried over in the class-designation. Apart from the name change, very few further modifications were necessary before shooting the model.