The critical path can shift from one path to another if an activity on a non-critical path is lengthened enough, or an activity on the critical path is reduced enough.

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The critical path is the longest sequence of activities in a project plan which must be completed on time for the project to complete on due date. Any delays in the critical path lead to delays in the project. However, if an activity on a non-critical path takes longer than planned, it could become longer than the current critical path, making it the new critical path. Similarly, if an activity on the current critical path is shortened, it could cause another path to become the longest, thus becoming the new critical path.

The Critical Path Can Shift from One Path to Another