If it happens, it would be for the first time since 2008 that the fate of thousands of applicants for H-1B visas would be decided by a computerised draw of lots.
Even Citizenship and Immigration Services (USCIS) said it expects the cap for H-1B visas to be filled in the first five days itself.
According to Congressional approved mandate, USCIS can reward a maximum of 65,000 H-1B visas for the fiscal year 2014 beginning October 1, 2013.
In addition, the USCIS can also reward 20,000 H-1B visas for those having masters or higher degrees from US academic institutions. This limit on H-1B visas has been in place for more than two decades now.
For three years from 2001 to 2003, Congress had increased the cap to 195,000, which was not reached.
"Based on feedback from a number of stakeholders, USCIS anticipates that it may receive more petitions than the H-1B cap between April 1, 2013 and April 5, 2013," USCIS said in a statement early this month.
If USCIS receives more petitions than it can accept, it will use a lottery system to randomly select the number of petitions required to reach the numerical limit.
USCIS will reject petitions that are subject to the cap and are not selected, as well as petitions received after it has the necessary number of petitions needed to meet the cap.
The lottery for the H-1B cap was last used in April 2008, when the cap was filled on the first day itself.