The 24-year-old has featured five times for the Spitfires since joining from Leyton Orient this summer.
Centre-back Essam began his career at Gillingham and had spells at Crawley Town and Dover Athletic, before moving to Orient in the summer of 2015.
Woking are currently 22nd in the table, having won one of their opening eight league games of the season.
National League side Woking have signed Eastleigh defender Connor Essam on a 93-day loan deal.