AASLD Practice Guidelines:
Bleeding from paracentesis is relatively uncommon. The routine use of FFP or platelet transfusion is not recommended before paracentesis. You should avoid any engorged veins as most bleeding occurs from the venous circulation.
It may be reasonable to correct patients who have bled before with paracentesis, have hyperfibrinolysis (as they wouldn’t be able to clot effectively due to factor depletion), patients with evidence of overt bleeding from mucosa (epistaxis, vaginal bleeding, etc), or have history of bleeding at puncture sites (like IVs or blood draws).
Reference:
“Management of adult patients with ascites due to cirrhosis: an update.” Runyon BA. Hepatology. 2009;49(6):2087