The Falcons claimed back-to-back victories for the first time in more than two years with a tense 28-24 victory over the the Seagulls at Piggabeen Sports Complex.
Murphy left the field in the second half and is set to be sidelined for an extended period.
Coach Glen Dreger said his team-mates have already rallied.
"After the game, they said 'look, we're just going to have to step up a bit more now'.
"They're already thinking about next week and getting on with the job and that's what we need to do."
In fact, the Falcons rallied as soon as their skipper was injured yesterday.
They then staved off persistent raids from the Seagulls.
"The boys dug together in the second half and said 'let's do it for Murphy' and I thought that was a really good sign from our players," Dreger said.
"They really toughed it out. Our online defence was just outstanding so I'm really proud of them.
"It meant a lot to them to win that game for him."
The Falcons trailed 18-16 at the break before skipping away to a 28-16 lead.
The Seagulls crossed to draw within four points with six minutes left.
Yesterday's triumph was also their first in 23 away games.
The woodenspoon side for the past two years, the Falcons have in recent weeks looked a much more competitive outfit.
This year, the club has forged a relationship with NRL club Melbourne Storm.
The affiliation allows fringe Storm players to lace up for the Falcons each week.
Some of those players were among the standouts yesterday, including prop Nelson Asofa-Solomona and centre Hymel Hunt.
AMONG the Coast-based players to impress were prop Johnny Vuetibau and Jay Lobwein.
Officials said it would take a few games for the players to gel and that seems to have been the case.
But Dreger yesterday said Coast supporters should not expect a premiership just yet.
"There's a lot of things we need to do a lot better but we're heading in the right direction," he said.
The Falcons will clash with fifth-placed Wynnum Manly next weekend.
"That will be a good challenge because they're definitely being talked about as premiership contenders," Dreger said.
"To have two wins and to be playing them is pretty exciting."
Meanwhile, the Falcons colts side drew 28-all with Tweed Heads to be fifth on a 10-team ladder.
More results and ladders from Queensland competitions in sport detail.
TWEED HEADS SEAGULLS: 24
(S Carney, M Parata, N Barnes, R Parata tries; J Fogarty 2, B Anderson 2 goals)
SUNSHINE COAST: 28
(C Klein, H Hunt, S Vunivalu, N Asofa-Solomona, K Bromwich tries; B Doherty 4 goals)
Courtesy of Sunshine Coast Daily