The Broncos, bottom of the table and so far without a ground for next season, ended a long losing streak dating back to April 27 with their 20-10 win over Bradford - their first triumph at Odsal since 2009.
Rea said: "It was important, it was gutsy and we've stuck together as a group for a long time and it got us rewards.
"It certainly helps our cause - it lifts everyone at the club and keeps everyone enthused about what we are doing."
Rea hopes the uncertain future at the club will become clearer in a matter of days rather than weeks, and spoke about the difficulty keeping off-field doubts and on-field matters apart.
He added: "We can't separate the two because it's a reality - and we haven't always differentiated very well between them at times."
The victory, and Salford's loss at Castleford, keeps London's hopes of avoiding the wooden spoon alive, with just a point now separating the two teams with one game remaining.
Rea commended mid-season recruit Jamie Soward, who had a hugely influential game before being needlessly sin-binned with seven minutes to play.
"Soward rewards a lot of the effort we put in but I thought that Mason Caton-Brown (making his debut after playing on dual registration with Hemel Stags all season) had a good game and it was significant that he was playing alongside Soward," Rea said.
Meanwhile, Bradford boss Francis Cummins described the Bulls role in an error-strewn game as "awful".
"It was a very disappointing loss," he said.
"We looked like we had a few players give up - which they didn't - but a lot of the time we defended big sets, only to throw the ball back to them.
"We defended well but you can't make 18 errors, we're talking about 40 per cent completion. We let ourselves down today."
The Bulls, having failed to make the end of season play-offs for the fifth successive season, have now lost eight of their last 10 games and were playing largely for pride.
Cummins said: "There was no pressure on us - we were looking to play well for ourselves but they (London) had all the ball.
"It a very simple game but you can't play it if you don't have the ball and when we did have it we threw it away through too many errors."
The scene was set for a dour encounter when both sides bombed good chances in the opening minutes and it was not until five minutes before half-time that the deadlock was broken through a David Howell try for London.
Soward, who went on to add two goals, failed with the conversion and shortly after the break Bradford bounced back when Keith Lulia scored in the corner and Jamie Foster converted.
The Bulls' lead lasted almost to the hour mark but two London tries in three minutes left the Broncos in the ascendancy.
Howell rose to catch and ground a Soward kick and then Soward himself sprinted away from halfway after intercepting a stray Luke Gale pass.
Caton-Brown added a further try to seal the Broncos first win at Odsal in four years before Danny Addy claimed a late consolation for the Bulls.
Soward blotted his copy-book by being sin-binned for needlessly kicking the ball off of the tee as Foster lined up the final conversion attempt.