A series of polyurethanes, polyureas, and poly(urethane ureas) with flexible blocks based on alpha,omega-bis(hydroxyalkyl)polydimethylsiloxane and alpha,omega-bis(aminopropyl)polydimethylsiloxane with molecular weights (5.6 and 0.9) x 10(3), respectively, is synthesized to obtain artificial vessels by electrospinning. The structure and properties of the polymers are characterized by gel permeation chromatography, differential scanning calorimetry, thermogravimetry, and dynamic mechanical analysis. It is found that polydimethylsiloxane segments in the polymer structure form their phase with a glass transition temperature characteristic of polydimethylsiloxane. The features of fiber spinning from solutions of the synthesized elastomers are studied. It is shown that the storage modulus of the polymers has a great influence on the morphology of the presented fibers.