The Sateyba boys came into the match with 15 points after sixteen league outings prior to their match with the Bakau giant killers, who are scuffing for the league title.
Brikama United needed the maximum points to move away from the danger zone.
The Sateyba boys found themselves two nil down in the early minute of the first half.
Brikama United fought hard for equaliser and leveled matters before half time.
The Sateyba boys secured the vital three points after scoring their third goal in the second half of the match to move away from the relegation zone.
The win earns Brikama United 13th place on the First Division League table with 18 points.
Steve Biko now occupy 7th place on the country’s Elite League table with 24 points.