As of May 29, 2009, approximately 45,800 H-1B cap-subject petitions and 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to reach the statutory limits, taking into account the fact that some of these petitions may be denied, revoked, or withdrawn.
Since it is probable that there will still be H-1B numbers available after June 30, U.S. employers should submit H-1B petitions for potential workers as soon as possible.