I would recommend that one consider why they want to pursue a JD, as it is a big investment. Due to visa uncertainties, one may or may not be able to work in the United States for a long period of time.
First Person Accounts: Shezin Hussain on the LL.M. at the Maurer School of Law, Indiana University Bloomington
If anyone wants to break through the US legal market, the JD is always a better option than LL.M. However, if you still want to explore the US market with an LL.M, it is still possible but there are several hurdles to overcome.