However, there has been a level of antagonism between the two sets of supporters since the last day of the 2002/03 season, when, despite Celtic beating Killie 4-0, they lost the title to Rangers who beat Dunfermline 6-1 at Ibrox the same day.
Kilmarnock fans complained to the club about Celtic supporters getting into the home section and to prevent a similar situation arising on Sunday, Killie have employed stringent security measures with their ticket sales.
Chairman Johnston said that he is willing to sacrifice the much-needed cash to ensure the fixture passes off peacefully.
He said: "If the usual home support turn up on Sunday then there could be around 4000 empty seats.
"Given that tickets are £23 each, we are going to lose around £100,000 in revenue due to restrictions that we have voluntarily put in place to segregate the supporters.
"It could be even more because some Kilmarnock fans may decide to stay away from Rugby Park because they don't like to be outnumbered.
"There were some problems at the game at the end of the 2002/03 season when Celtic fans got into the home end.
"We had a lot of complaints from our own supporters and we are following procedures that we put in place since then.
"When it became clear that Celtic could win the title at our place, they asked for more tickets.
"They will get approximately 800 more for the West Stand once they have sold out their initial allocation for the Moffat and Chadwick stands which I presume they will do.
"That is the best compromise we can achieve.
"It is important that our supporters feel comfortable in their own stadium and we have to respect our season ticket holders, we can't give away additional tickets to Celtic without disrupting them."
Johnston added: "It is a significant loss of revenue.
"And on top of that we have only had 18 home games this season as opposed to 20 away from home.
"However, if we find that fans have given tickets away to Celtic supporters then we will consider banning them.
"But if you can't trust your own supporters, then who can you trust?"