Changed status from F1 to H1b, employer didnt withheld FICA (Medicare and Social Security Taxes). How do I pay them?

Hi,

 

I entered USA in Aug 2016 on F1 visa and on October 1,2019 my status changed from F1 to H1b. However, my employer did not withheld FICA taxes (Medicare and Social Security Taxes). I am not sure what all forms I need to fill to pay my FICA taxes to IRS for the 3 months (October, November and December 2019).

 

The suggestions given to me are :
Fill SS-8 and send it 1 day before filing my taxes. And when I file my taxes submit Form 8819 (Uncollected Social Security and Medicare Tax on Wages).

 

Is this how I should be paying my FICA or is there another way?

 

Thanks!