Bishop was drafted 85th overall in the 2005 NHL Draft. The American netminder posted a .921 SV% and 2.32 GAA in 413 games split between five teams, with his last four NHL seasons with the Stars organization. Bishop had battled injury issues in the last couple of years of his career, primarily with his right knee. On December 14th, 2021, he made the decision to retire from professional hockey.