No limits are set on the number of individuals who may be granted asylum in the United States. Under immigration law, approved asylums must reside in the United States for 1 year following their approval in order to be eligible to apply for adjustment to lawful permanent resident status. One year of the asylee’s residence prior to adjustment is counted toward the naturalization residency requirement. Although asylee adjustments are exempt from the worldwide annual limitation on immigrants, the law places a ceiling on the number of asylees who may adjust to permanent residency status each year.
The Immigration Act of 1990 increased the ceiling from 5,000 to 10,000 per year, effective for fiscal year 1991. It also waived the annual ceiling beginning in fiscal year 1991 for those asylees who had met the required 1-year waiting period and filed for adjustment of status on or before June 1, 1990. (http://www.immihelp.com/gc/asylum.html)