The critical path (CP) method (CPM) proposes a set of rules allowing the drawing of failure lines that represent adjacent areas positioned along selected circumferential and longitudinal directions of pipelines that contain colonies of corrosion defects. Failure pressures are calculated for each of those lines to determine the most critical one. This selected line is considered the most probable path of rupture, and it corresponds to the minimum calculated internal pressure to take the pipeline to fracture. The proposed method was checked against 12 burst pressure tests performed on pipeline tubular specimens.