Just looking for a little advice about a passport application and travelling. I currently live in the uk and I am a British citizen. Since my father is an American citizen I have claim to US citizenship, and recently applied for my first US passport. This would make me a dual national if my application is accepted and processed, however the status of my application has not yet been confirmed so I am still only a British citizen. I'm yet to know if I've even been accepted for citizenship. 
I was planning on travelling to Los Angeles for a vacation next month, and as I'm yet to hear back from the US embassy, I was planning to travel on my uk passport like I normally do, although I have been told there might be problems with immigration when I try to enter the US, as I have a pending US passport application that could mean i gain US citizenship in the near future. Does anyone have any experience with this or know if I will be fine travelling on my UK passport. I assumed it would be okay since I'm not yet a dual national, but I've read different things. I'm not if it would show up on the system that I've applied for a us passport when they scanned my British passport 



Any information would be great! 

Thanks, Amy