A turbomachine including a shaft, a bearing for supporting the shaft and including an outer ring, and a support for the bearing, the support having a flange to which the outer ring is fastened by fasteners, is provided. Each fastener includes a fastener bolt and a nut screwed together. The turbomachine further includes, for each fastener, a position-retention device for retaining the bolt, and suitable for retaining the bolt in a position that is stationary relative to the bearing support or the outer ring, even in the absence of the nut. The head of the fastener bolt and the position-retention device may be of small dimensions, thereby enabling the fastening of the flange to the bearing support to be optimized, and in particular enabling the weight of the fastening to be optimized. A method of mounting the bearing of the turbomachine is also provided.