COVID-19 is a disease of the respiratory system; however, some patients experience multiorgan complications, including those of the digestive system. Many studies have focused on liver, bile duct and stomach dysfunctions during the SARS-CoV-2 infection. Currently, it is known that COVID-19 leads to changes in amylase concentration in the blood, which may be a prognostic factor for pancreatic damage; however, information regarding these clinical cases is limited. Our study aimed to determine the potential changes in total amylase, pancreatic amylase and C-reactive protein (CRP) levels in the blood of the donor groups with different titers of anti-SARS-CoV-2 IgG. Donor groups with titers of anti-SARS-CoV-2 IgG 10 ± 3 and 95 ± 5 Index (S/C) were characterized by an increase in total and pancreatic amylase concentrations compared to the donor group with titer of anti-SARS-CoV-2 IgG 0 Index (S/C). We assumed that multiorgan dysfunction developed through the acute inflammatory reactions caused by the SARS-CoV-2 infection. In particular, this may lead to pancreatic complications. To confirm this, we analyzed the CRP concentration in the donor group with the changes in amylase concentration compared to the donor group with titer 0 Index (S/C). The results obtained may be useful in medical practice for diagnosing complications in the post-COVID-19 period and for preventing the development of pancreatic dysfunction during the development of an algorithm for the treatment of COVID-19.