The Bluebirds went 10 points clear at the top of the Championship on Saturday with a 2-1 win over Blackpool.
But they caused anger among some fans after donning a black third kit when City’s blue away kit, the club’s traditional colour, would have sufficed on the same field as the Tangerines.
Mr Lim said wearing the black kit allowed them to wear red shorts – considered to be a “lucky omen”.
Mr Lim said: “No, there’s no intention of doing away with the blue kit. It’s just we preferred the red, if we could wear the red. We wore the red shorts and they are a lucky omen for us.
“We will wear blue again this season, I’m sure. We still have nine away games to play so somewhere along the line we will [wear blue].
“Personally, I prefer the black. Black is one of my favourite colours and I think it looks dynamic.
“But officially, we normally leave it to Malky. We discuss it with him and it will be a joint decision.”
The Bluebirds’ home kit was swapped for red, considered lucky by Malaysian owner Vincent Tan, in the summer as part of a controversial rebrand.
So far this season, the Bluebirds have played 30 matches, wearing red on 22 occasions, blue five times and black three times.
City have lost on all but one occasion when wearing blue, which was when they beat Barnsley 2-1 back on November 24, but have a 77% win ratio in red.
Fan Michael Morris, who runs the Cardiff City messageboard, said there were many “reluctant reds” but that the club’s on-field success and new-found financial stability meant fans had been more willing to accept change.
He said: “It’s incredible how many people have just allowed the blue kit to disappear because of the position where the club is. I wonder if it would be different if we were in a relegation battle and the club was playing in this foreign colour, whether there would be more of an outcry from the supporters.
“I’m still pretty mixed up about it but I’m enjoying the football.
“It’s a constant argument among friends and family and people on the messageboard.
“My personal thought, after seeing on Saturday when they had the opportunity to, I don’t think they have any intention of playing in blue.”
A Cardiff City spokesman added wearing black had been “team preference”.
“Last season we wore the white and blue kit away at Blackpool,” he said.
He added the blue kit was still available to buy from the Cardiff City club shop.