Will applying to a university via transfer will mess up my current H1B process?

I am currently on OPT and will be applying for H1B this year. But as this is my last chance, I also want to get admitted into new university to be on safe side. Universities want transfer letter from my current university. So, in doing so, will I be messing my H1B process? Any help or redirection will be appreciated. Thanks.

No, these two are two separate and legal items, ideally, there should be no impact.