Bavuma sustained a hamstring strain while batting in the second innings of the World Test Championship final victory against Australia at Lord's and will undergo further scans to determine the extent of the injury.
The 15-man squad contains five uncapped players as the Proteas has opted to rest several members of the team that did duty in the WTC final against Australia.
Aiden Markram, Kagiso Rabada, Ryan Rickelton, Marco Jansen and Tristan Stubbs will all sit out the two Test matches against their African neighbours that starts on 28 June in Bulawayo while fast bowler Lungi Ngidi is only available for the second Test.
Batters Lhuan-dre Pretorius, Lesego Senokwane, Dewald Brevis, paceman Codi Yusuf and spinner Prenelan Subrayen could all be in line to make their Test debuts.
Proteas Test squad: David Bedingham, Matthew Breetzke, Dewald Brevis, Corbin Bosch, Tony de Zorzi, Zubayr Hamza, Keshav Maharaj (capt), Kwena Maphaka, Wiaan Mulder, Lungi Ngidi (second Test only), Lhuan-dre Pretorius, Lesego Senokwane, Prenelan Subrayen, Kyle Verreynne, Codi Yusuf
Corbin Bosch picked up a maiden five-wicket haul as the Proteas wrapped up a mammoth 328-run victory in the second session of the fourth day of the first Test against Zimbabwe in Bulawayo.
Wiaan Mulder hit a career-best 147 as the Proteas were bowled out for 369 in the second innings to set Zimbabwe a mammoth target of 537 with two days remaining of the first Test in Bulawayo.
Lhuan-dre Pretorius became the youngest player to score a Test century for the Proteas to help the visitors recover from 55-4 to post 418-9 at stumps on day one against Zimbabwe in Bulawayo.
Lhuan-dre Pretorius, Dewald Brevis and Codi Yusuf will all make their Test debuts for the Proteas against Zimbabwe in Bulawayo on Saturday, stand-in captain Keshav Mahraj has confirmed.
