The clinical utility of small-diameter vascular grafts (SDVGs) is limited due to the possibility of thrombosis and intimal hyperplasia. These features can delay the development of a functional endothelial cell (EC) monolayer on the luminal surface of grafts. Therefore, the development and fabrication of vascular grafts (VGs) with comparable extracellular matrix (ECM) functions are mandatory to elicit hemocompatible confluent EC monolayers, and angiogenesis behavior inside the body. To promote the interactions between ECs and the surface of electrospun polyacrylic acid-grafted polyhedral oligomeric silsesquioxane-poly(carbonate-urea)-urethane (PAAc-POSS-PCUU), in this research, the surface of nanofibers was modified by covalently immobilizing extracted soluble proteins from aorta (ESPA) using EDC/NHS chemistry. The ATR-FTIR spectroscopy, WCA, and SEM microscopy confirmed the binding of acrylic acid and soluble vascular proteins on the surface of electrospun fibers. The PAAc-POSS-PCUU nanofibers and engineered biomimetic Pro-PAAc-POSS-PCUU nanofibers exhibited excellent biocompatibility indicated by increased survival rate (p < 0.05). Western blotting revealed the increase of VE-cadherin, Tie-2, vWF, and VEGFR-2 in HUVECs after being plated on PAAc-POSS-PCUU and Pro-PAAc-POSS-PCUU scaffolds, indicating appropriate angiogenesis behavior (p < 0.05). Besides, the antioxidant capacity was induced by the increase of SOD and GPx activity (p < 0.05). Additionally, blood compatibility tests revealed that Pro-PAAc-POSS-PCUU nanofibers accelerate the formation of a single EC layer without hemolysis and platelet adhesion. Taken together, Pro-PAAc-POSS-PCUU nanofibers exhibited excellent blood compatibility, and angiogenesis behavior, making them a promising candidate for clinical applications.