Rubuta ci gaba don wannan sakin layi - Davis ya fara buga wasan farko a ranar 21 ga Afrilu 1981 yana da shekaru 24, kuma ya zama mai karɓar Cubs a matsayin rookie. A farkon shekarun aikinsa, Davis ya nuna alkawari a kan laifi kuma ya zama masoya da aka fi so a tsakanin magoya bayan Cubs. A cikin kakar wasa ta biyu, 1983, ya kafa abin da zai zama mafi girma a cikin wasanni 151 da aka buga, da batting average na.271 da 24 gida runs. Davis kuma yana da 84 RBI a wannan kakar. A cikin 1984, ya kafa babban aiki tare da 94 RBI kuma ya sami zaɓin All-Star na farko, yayin da Cubs suka lashe taken National League Eastern Division, taken su na farko na kowane nau'i tun. A cikin bayyanar da aka yi a kakar wasa ta farko a cikin aikinsa, Davis ya buga.389 tare da sau biyu, 2 gidaje, 6 RBI da kuma.833 slugging kashi a cikin 1984 National League Championship Series
yayin da San Diego Padres suka doke Cubs a jerin wasanni biyar.