According to the Football411.com website, Stuart Baxter's men were in fine form at the start of the 2012/13 campaign to surge to the summit, but Gaxa reckons the second half of the season will be the real challenge.
After a goalless draw at Mamelodi Sundowns last Tuesday allowed rivals Orlando Pirates to go top of the standings, Chiefs reclaimed pole position with Saturday's 2-1 win against Free State Stars.
Next up for the Glamour Boys is the trip to Black Leopards on Wednesday, and Gaxa is predicting a tight race at the top this term.
"We will have to do more than we did in the first half of the season, because the second round will be tougher than the first one," Gaxa told Football411.
"We need to understand that there is more work to be done now and we need to fight because everyone wants to be where we are now.
"We really want this title, so we just have to be professional and do our job and hopefully we won't have any problems with fatigue and injuries."
The Glamour Boys already got the better of Lidoda Duvha 2-1 in the reverse fixture earlier this season at Soccer City.