"We were getting a fair way into the warm-up and I felt a nick in my calf, strained my calf slightly. Had a quick ultrasound and there's a slight tear. I'll get a scan tomorrow," he told Fox Sports during the game.
Down 12-6 at halftime, Sims kicked off his game-changing spurt in the 49th minute, trampling over James Maloney and offloading for Mitch Rein to level the scores.
The former Newcastle forward then gave his team the lead when he pounced on a Gareth Widdop grubber in the 54th minute, before powering over from close range.
A Ricky Leutele try and Maloney penalty reduced the gap to six with 10 minutes to play, however the Dragons held on for one of their most-impressive wins of the season.
The 32 points is a season-high, while it is also the first time in five weeks they have scored more than two tries.
The Dragons made their intentions clear from the kickoff, twice shifting wide in a set that also included two offloads and ended in an attacking position.
In an end-to-end opening to the match, Chad Townsend and Josh Dugan traded try-saving efforts before Benji Marshall chipped early in the tackle count for Euan Aitken to score.
The best try of the night went to Sharks fullback Ben Barba, who finished off a 95-metre effort that began with winger Sosaia Feki streaking away after an early shift in front of their own sticks.
Feki failed to come out of the sheds in the second half after succumbing to a groin injury, while forward Jesse Sene-Lefao could find himself in trouble for a high shot in the 52nd minute.
Dragons coach Paul McGregor lauded Sim's impact on the match, however he is resigned to losing him after he suffered an ankle injury late in the game.
"Tariq's been really good for us since he's been here. He's played back row and middle, but Tariq going forward, is definitely a middle player," he said.
"As soon as he came on he made immediate impact. He played long minutes there. Unfortunately he got a strain in the ankle there late in the game.
"We'll get it checked and hopefully it won't keep him out for many games."
Sharks coach Shane Flanagan likened his team's poor form to Brisbane's mid-season slide and denied it was panic stations at the club but remained confident of turning it around.
"We're not playing good footy at the moment. We've had boys at Origin, a couple of quick turnarounds and we're a bit busted at the moment," he said.
"Now we've got a nine-day turnaround, we're looking forward to that. It's similar to the Broncos, all teams go through it. Some things just aren't working for us like they were earlier in the year.
"We'll work really hard to find it."
- AAP
