Warriors sit third in the league table, having won nine of their 12 games, and Murchie insists they can sustain their title challenge.
"We have given ourselves the opportunity to go in and challenge at the top of the table but there is still a large chunk of games left to play," the assistant coach told BBC Scotland.
"We are trying to chase down the finish as hard as we can. We have put ourselves in a position where we can still be looking up the way and that's our mindset.
"We want to produce a better version of ourselves and we know we're capable of that."
The Warriors battled to a hard-fought victory over Cardiff last time out, and Murchie says it was pleasing to get the win despite not reaching their potential.
"We are pleased to come back and get the victory," he said. "Ultimately we probably had enough chances to get the bonus point but we probably didn’t deserve to with what Cardiff put into it.
"We weren't quite at our level, we weren't quite where we needed to be. We were happy to pick up the victory in the end given where we were at half-time."