My employer ( Indian Consultancy) is holding my H1-B. They have filed my labor certification this month. Now, I am getting better opportunities in terms of salary  and benefits from some other reputed American IT companies.( eg http://www.presidio.com/ ) 

I am in confusion whether to search new opportunities constantly( i.e.  fulltime ) or just to  keep quiet and stick with my current employer. I am working on 70-30% basis with my current employer. 

Any suggestions/advice is appreciated.