Regarding Name Change

[nazimuddin]

Hi,

My passport is currently with the following name
Given Name: Nazimuddin Baig
Surname :

I have got a valid B1/B2 visa with the name as

FNU Nazimuddin Baig


Now, my company is processing L1 visa for me and they asked me to add surname in passport, so my new passport is like this
Given Name: Nazimuddin
Surname : Baig

Will I face issues in applying for L1 visa as Nazimuddin Baig, since I already have a B1 visa on a different name?