The invention relates to a positive-displacement machine according to the spiral principle, particularly a scroll compressor, having a high-pressure region, which comprises a high-pressure chamber, furthermore having a low-pressure chamber and an orbiting positive-displacement spiral, which engages into a counterpart spiral in such a manner that compression chambers are formed between the positive-displacement spiral and the counterpart spiral, in order to accommodate a working medium, wherein a counterpart-pressure chamber is constructed between the low-pressure chamber and the positive-displacement spiral. According to the invention, the positive-displacement spiral has at least two passages, which at least temporarily produce a fluid connection between the counterpart-pressure chamber and at least one of the compression chambers, wherein a first passage is essentially constructed in a central section of the positive-displacement spiral and at least one second passage is constructed in the initial region of the positive-displacement spiral.