The players, along with two members of staff, will isolate in accordance with Premier League and government protocol.
City will likely be without the duo for Premier League games against Newcastle United on December 26, Everton two days later and Chelsea on January 3.
Jesus’ obvious replacement Sergio Aguero is being eased back after a knee issue and played 16 minutes on Tuesday.
Brazil forward Jesus, 23, has scored four times this season but was missing through injury for a month while 30-year-old Walker has been a virtual ever present for Pep Guardiola’s side.
England right-back Walker apologised in May for breaking coronaevirus lockdown guidelines twice.
Manchester City are eight points behind Premier League leaders Liverpool with a game in hand.
Source: BBC football