The linear rolling bearing for transmitting torques about its longitudinal axis has an inner profile element and an outer profile element a first circulatory channel having roller bodies and a second circulatory channel having roller bodies. Each circulatory channel having a loadbearing channel, a return channel, and two deflection channels which connect the loadbearing channel and the return channel to one another in an endless manner. The inner profile has longitudinal teeth and each circulatory channel is positioned between separate teeth. The loadbearing channel of both the first and second circulatory channel bear against the same tooth. The first and second circulatory channel can transmit torque in the same direction by changing the return channel to a load bearing channel such that there are two loadbearing channels both on different teeth.