Ay mamsh, 37.7 is on the higher side pa rin for a 1-week-old baby, normal for newborns usually stays around 36.5, 37.5°C, kaya please check with your pedia or go to the clinic para ma-assess properly, okay? At ganyan kadali mag-iba ang temperatura ng babies, lalo na kung baguhan ka pa lang, so better safe than sorry talaga. Sending you love, mama!