Additionally, we are offering walk-in appointments at four sites — including UW Medical Center - Montlake on the south side of the Seattle campus — during the following hours: UW Medical Center - Montlake: 8 a.m. - 6 p.m. UW Medical Center - Northwest: 9:30 a.m. - 2 p.m. Harborview Medical Center: 9:15 a.m. - 6:45 p.m..