The sector, which includes Vermont, New Hampshire, and parts of New York, has seen an 843 percent increase in illegal crossings since October.
According to FOX News' Bill Melugin, the agency is hoping to recruit volunteers for deployment as soon as March 1.
"Swanton Sector is experiencing an increase in illegal entries (primarily Mexican migrants with no legal documents to enter the United States) from Canada," Assistant Chief Juan E. Garcia said in an email. "Due to the increased numbers, stations are task saturated with processing large groups, which has contributed to gotaway events, pedestrian, and vehicle incursions."