Can I travel abroad with my British passport while waiting for my US passport to be issued?

I have applied for US passport recently and I am aware that there is a 4-6 weeks of processing time for a new US passport. With my passport application

Source: http://www.us-passport-service-guide.com/can-i-travel-abroad-with-my-british-passport-while-waiting-for-my-us-passport-to-be-issued.html

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