Background check, CV mistake

I received a full time offer & had a conversation with my friend about my CV. I have a bachelor's degree with a study abroad experience and i listed it on my CV like this :

School 1, Bachelor's degree, major

School 2, Bachelor's degree, major (exchange program)

My friend mistakenly thought I had two degrees. I'm realizing the firm might also have thought the same. I provided transcripts during screening. And the transcript from school 2 clearly stated that I was an exchange student. I also talked about the exchange program very openly during all rounds when presenting myself or during the FIT part. But I am still worried because the third party who does the checks seems pretty brutal in education verifications, and I could definitely now see how the way I worded things on my CV could be confusing. 

How can I make sure I don't have any issues during the background check and that my intentions are not misconstrued? Should I contact someone or just let the check take its course normally?

Thanks