According to the most recent count, as of July 10, over 15,000 are still available for issuance.

USCIS Updates FY 2010 H-1B Count (Updated 7/13/09)
Cite as “AILA InfoNet Doc. No. 09042065 (posted Jul. 13, 2009)”

July 10, 2009 H-1B Cap Count

As of July 10, 2009, approximately 44,900 H-1B cap-subject petitions had been received by USCIS and counted towards the H-1B cap. Approximately 20,000 petitions qualifying for the advanced degree cap exemption had been filed. USCIS will continue to accept both cap-subject petitions and advanced degree petitions until a sufficient number of H-1B petitions have been received to reach the statutory limits.

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