To achieve high reliability in on-chip networks, frequent runs of Built-in Self-Test allow the detection of and recovery from faults before they affect packets and the system functionality. However, to test routers, wrappers isolate cores from the network which leads to execution blocking and performance loss. In this paper, we propose a design-for-test reconfigurable router with two alternative bypassing channels. The router architecture allows maintaining the connection between cores and the network during the testing procedure by utilizing the bypassing channels. With the help of an adaptive routing algorithm and a testing strategy, networks can be fully tested at a high testing frequency with <15% increase of execution time.