The Bognor middleweight took his unblemished professional tally to 4-0 with a convincing victory at the Hove Town Hall over Dalton Miller.
Gibbens dominated the first round against the Londoner but lost the second to his Jamaican opponent.
He dug deep after that unusual setback, however, and turned on the style to regain his advantage in the third before closing out the victory in the fourth for a 39-37 points decision.
Gibbens, 28, trains at Riley’s Gym, nicknamed the Beehive, in Waterloo Square, Bognor, where trainer Faz Chitima said: “Alex learned a lot about himself in that win and is improving all the time.
“He keeps getting better and better and is hungry for more fights as soon as possible. Alex is stepping up to six rounds of three minutes at Hove on Saturday, April 28 and he will be up against better quality in the opposite corner.”
Gibbens has been sparring in Brighton and Southampton but could be boxing in the capital in May.
Faz added: “There have been talks with promoter Micky Helliett which could lead to Alex climbing through the ropes in one of Micky’s shows in London.”