Accounts that U.S. border officials are facing a surge of Mexican immigrants claiming asylum by using a few key words prompted a top Republican senator to call for the pending immigration bill to be put on hold “until these abuses are ended.”

Sen. Jeff Sessions, R-Ala., one of the most vocal critics of the comprehensive immigration overhaul being pushed on Capitol Hill, said the surge in asylum requests “has exposed another grave flaw” in the implementation of federal immigration law.

Documents obtained by Fox News show Immigration and Customs Enforcement has been paying for hotel rooms for dozens of recently arrived families to relieve overcrowding at processing centers in the San Diego area. Some ICE employees are working overtime and others have been asked to volunteer to work weekend shifts.