Summary: It has been recently claimed that dark matter could be in the form of a Bose-Einstein condensate (BEC) in order to explain the dynamics at large distances from the galactic center [C. G. Böhmer and T. Harko, “Can dark matter be a Bose-Einstein condensate?”, J. Cosmol. Astropart. Phys. 2007, No. 6, Paper No. 025, 20 p. (2007; doi:10.1088/1475-7516/2007/06/025)]. In this paper, we explore the possibility of wormhole formation in galactic halos due to the dark matter BEC. In particular, we have found a new wormhole solution supported by BEC dark matter using the expressions for the density profile of the BEC and rotation velocity along with the Einstein field equations to calculate the wormhole red shift function as well as the shape function. To this end, we show that for a specific choose of the central density of the condensates our wormhole solution satisfies the flare our condition. Furthermore, we check the null, weak, and strong condition at the wormhole throat with a radius \(r_0\), and show that in general the energy condition are violated by some arbitrary quantity at the wormhole throat. Using the volume integral quantifier, and choosing reasonable values of parameters, we calculate the amount of BEC exotic matter near the wormhole throat, such that the wormhole extends from \(r_0\) to a a cut off radius situated at ‘\(a\)’. Moreover, we introduce a Kerr-like metric for a rotating BEC wormhole to study the effect of BEC dark matter on the Lense-Thirring precession frequencies. Namely, we show that the obtained precession frequencies lie within a range of typical quasi-periodic oscillations.