Anti-angiogenics currently used in cancer therapy target angiogenesis by two major mechanisms: (i) neutralizing angiogenic factors or their receptors by using macromolecule anti-angiogenic drugs (e.g., therapeutic antibodies), and (ii) blocking intracellularly the activity of receptor tyrosine kinases with small molecule (Mr < 1 kDa) inhibitors. Anti-angiogenics halt the growth and spread of cancer, and significantly prolong the disease-free survival of the patients. However, resistance to treatment, insufficient efficacy, and toxicity limit the success of this antivascular therapy. Published evidence suggests that four albumin-binding proteins (ABPs) (gp18, gp30, gp60/albondin, and secreted protein acidic and cysteine-rich (SPARC)) could be responsible for the accumulation of small molecule receptor tyrosine kinase inhibitors (RTKIs) in normal organs and tissues and therefore responsible for the side effects and toxicity associated with this type of cancer therapy. Drawing attention to these studies, this review discusses the possible negative role of albumin as a drug carrier and the rationale for a new strategy for cancer therapy based on follicle-stimulating hormone receptor (FSHR) expressed on the luminal endothelial cell surface of peritumoral blood vessels associated with the major human cancers. This review should be relevant to the audience and the field of cancer therapeutics and angiogenesis/microvascular modulation-based interventions.