Filing an H-1B petition requesting premium processing will not increase the chances of obtaining an H-1B under the quota. If you request premium processing and the case is accepted for processing, the 15 day premium processing window will start no later than April 28, 2014, according to the USCIS news alert issued 3/25/2014. Please note that one seeming benefit of filing a cap subject H-1B petition with a request for premium processing is that a receipt notice may be issued faster than if filed under regular processing. Therefore, the petitioner and beneficiary may confirm sooner that the petition has been chosen in the lottery.
Source of Information:
USCIS.gov (3/25/14) News Release:
USCIS to Accept H-1B Petitions for Fiscal Year 2015 Beginning April 1, 2014
USCIS.gov (3/25/14) News Alert:
USCIS to Begin Premium Processing of H-1B Cap-Subject Petitions by April 28, 2014
USCIS.gov – web page:
How Do I Use the Premium Processing Service?