In this report, we present the results of our investigation of topological insulator (TI) microwires proximity coupled to superconducting leads (SC) [1,2]. We studied the transverse magnetoresistance of Bi2Te2Se and Bi0.83Sb0.17 TI glass coated microwires contacted with superconducting In2Bi leads (Tc=5.6 K). The equidistant in transverse magnetic field (up to 1 T) magnetoresistance oscillations at the TI/SC interface have been observed at various temperatures (4.2 k – 1.5 K) both in Bi2Te3 and in Bi0.83Sb0.17 samples. In Bi2Te2Se sample with diameter d=16 μm this oscillations exist with period ΔB=18 mT and the sharpness of the FFT peak increases with decreasing temperature. In Bi0.83Sb0.17 sample with d=1.7 μm magnetoresistance oscillations are characterized by a period of        ΔB=46 mT. If the observed oscillations are Aharonov-Bohm oscillations of the quantization of the magnetic flux, then there must be a closed trajectory of carrier motion. The oscillation period ΔB=(h/e)/S were h/e is flux quantum, S - cross-sections area of closed trajectory, then for Bi2Te2Se microwire the trajectory diameter should be 530 nm, while for Bi0.83Sb0.17 microwire - 320 nm. In both cases, these diameters are much smaller than the corresponding microwire diameters. Different assumptions about the nature of the observed effect will be discussed.