Labour clearance with different nationality

guys i just had my labour clearance approved but it had different nationality than mine, although name , passport number are correct, only the nationality is incorrect; would I be facing any  problem? shall i tell the company to request its change to my nationality? shall i worry about anything because of that ? anybody faced something like this before?

I would suggest letting them know.  Even though you risk a delay, it is better than getting turned away when you arrive. 

May I ask how long it took from when you submitted your labor clearance application to when you were approved?

Thanks,