The LAMPF II accelerator will require sufficient vacuum to prevent beam loss or beam blowup within the time the beam is in the accelerator. Because this time is quite short (tau < 0.03 s), the vacuum requirements should be somewhat less strict than for the long-time storage machines, such as the ISR (tau greater than or equal to 10/sup 5/ s). In this note, we catalog various vacuum limitations for LAMPF II and outline vacuum-system parameters that meet these limitations. The pressure P less than or equal to 10/sup -7/ T should be adequate for LAMPF II, and a fairly simple vacuum system should obtain P less than or equal to 10/sup -8/ T.