The round-three defeat of South Sydney was Brailey's 106th consecutive game for the Sharks, a run that stretches back to the 2020 finals series and eclipses all others held by active players.
Brailey's streak would span 125 games to round one of the 2020 season had he not been rested from the Sharks' last match before finals that year.
The 26-year-old limped from the field in the final 10 minutes of the Sharks' 27-12 win on Saturday with what coach Craig Fitzgibbon described as a "good cork" in his thigh.
But Brailey said his streak was in no jeopardy ahead of Saturday night's heavyweight clash against Canterbury at Shark Park.
"I just copped a knee to the quad," Brailey told AAP.
"I won't be missing any games. I'll just manage it through the week but, all in all, I'll be good to go."
On Monday, the Sharks were awaiting updates on Siosifa Talakai and Braden Hamlin-Uele's availabilities after they respectively suffered game-ending ankle and knee injuries against Souths.
Both forwards went for scans in the days after a round-three win inspired by dynamic halves duo Braydon Trindall and Nicho Hynes.
After pre-season questions as to how the pair would share the playmaking load this season, the halves struck excellent chemistry setting up the 20-0 half-time lead that won Cronulla the game.
Trindall impressed with two 40/20 kicks and the try that put the result beyond doubt after half-time, while Hynes opened the scoring and then put Briton Nikora in for the Sharks' second try.
The two playmakers have been teammates since Hynes arrived at the Sharks for the 2022 season.
But injuries, suspension and the presence of former half Matt Moylan has restricted them to only 26 games together as a starting duo at Cronulla.
"Still to this day, we haven't played many games together so we're still working on our combination," Trindall said.
"It's good to put in a performance like that and combine well with Nicho."