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 on April 15, 2013, according to the USCIS press release issued 3/15/2013. Please note that one perceived 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: AILA.org web site
View the links below for more detail on the subject:
USCIS.gov (3/15/13) Press Release:
USCIS to Accept H-1B Petitions for Fiscal Year 2014 on April 1, 2013
USCIS.gov (3/15/13) Alert:
USCIS Announcement Regarding Premium Processing for H-1B Cap-Subject Petitions
USCIS.gov – web page:
How Do I Use the Premium Processing Service?