CRP is primarily synthesized by the liver mainly as a response to IL-6 production in inflammatory states¹.  Lower CRP production may then be expected in cirrhotic patients with significant infections and several studies support this view². 

In a particularly convincing study involving E. coli-infected patients with bacteremia, the median CRP level in cirrhotic patients was about 40% that of non-cirrhotic patients (62 mg/L vs 146 mg/L)³.  In another study involving bacteremic patients with or without liver dysfunction, median CRP level was about 60% that of  patients with preserved liver function (81 mg/L vs 139 mg/L)⁴.  Some investigators have reported a cut-off CRP value of 9.2 mg/L as a possible screening test for bacterial infections in patients with cirrhosis with a sensitivity and specificity of 88% (AUROC 0.93)⁵.

Collectively, these data suggest that although CRP response may be diminished in patients with advanced liver disease and acute infection, its synthesis is still maintained.

References

1. Pieri G, Agarwal B, Burroughs AK. C-reactive protein and bacterial infection in cirrhosis. Ann Gastroenterol 2014;27:113-20. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3982625/pdf/AnnGastroenterol-27-113.pdf
2. Ha YE, Kang C-I, Joo E-J, et al. Usefulness of C-reactive protein for evaluating clinical outcomes in cirrhotic patients with bacteremia. Korean J Intern Med 2011;26:195-200. http://pubmedcentralcanada.ca/pmcc/articles/PMC3110852/pdf/kjim-26-195.pdf
3. Park WB1, Lee KD, Lee CS et al. Production of C-reactive protein in Escherichia coli-infected patients with liver dysfunction due to liver cirrhosis. Diagn Microbiol Infect Dis. 2005 Apr;51(4):227-30. https://www.ncbi.nlm.nih.gov/pubmed/15808312
4. Mackenzie I, Woodhouse J. C-reactive protein concentrations during bacteraemia: a comparison between patients with and without liver dysfunction. Intensive Care Med 2006;32:1344-51. https://www.ncbi.nlm.nih.gov/pubmed/16799774
5. Papp M, Vitalis Z, Altorjay I, et al. Acute phase proteins in the diagnosis and prediction of cirrhosis associated bacterial infection. Liver Int 2011;603-11. https://www.ncbi.nlm.nih.gov/pubmed/22145664