Usuthu – who are bottom of the log with a mere four points from nine matches – will face leaders Kaizer Chiefs at Moses Mabhida Stadium on Wednesday.
The Durban-based outfit have lost five matches and drawn four, becoming prime candidates for the dreaded chop.
However, Mugeyi is cautioning against writing his team off prematurely and putting his players under pressure.
"There is no way that people can start talking about relegation after just nine games," Mugeyi tells KickOff.com.
"We have a lot of time to do well and this is what we have been working on. Those who know football are aware that it is too early to panic because we still have a lot of games to play. We are not panicking."
Since taking over from Craig Rosslee, Mugeyi says he has been instilling an attack-minded mentality in his side, who finished ninth last term.
"Look every coach has his own ideas and I have changed the way that we used to play under Rosslee. The players are responding well to my philosophy and the results will come.
"The idea is to make them focus on attacking and going forward," says Mugeyi, a prolific scorer for Umtata Bush Bucks during his playing days.
The coach is not concerned with rumours linking former SuperSport United boss Cavin Johnson with his job.
"I just want to be given time to prove myself with the team. There will always be specualtion and rumours in our line of work but I am focusing on getting positive results. We must start moving up the log," Mugeyi explains.