The 30-year-old former Rangers striker has been in fine form for the Ayrshire club this season, scoring six goals so far and there has even been talk of him returning to the Scotland scene.
The Perth club's boss acknowledged that Boyd will pose the biggest threat to his side's desire to make it four straight wins but he is hoping home form - which has seen Saints lose only to Hibernian in the league - will see his side through.
"It is another tough game," Wright told Saints TV.
"They have a lot of good players. Obviously with a new manager coming in it takes a bit of time to get his ideas across but in recent weeks they have had a few good results.
"I think he (Allan Johnston) is getting players fit and in Kris Boyd you have someone you have to be very wary of because he is in good form at the moment and obviously he has always had an eye for a goal.
"He gets a lot of his goals from inside the box so you hope that you mark him in the box.
"But also you maybe defend a little bit higher up the pitch and try to cut the supply to him as well.
"I've mentioned Kris but we try to concentrate on what we can do and we have been really good at home this season, other than the Hibs game which was disappointing.
"We have got to make sure that we put in an Inverness or Motherwell-like performance and if we do that then I think that will be enough to win the game."
Saints goalkeeper Alan Mannus is also looking for his side's home record to stand them in good stead.
The Northern Irishman said: "The last time we played Kilmarnock (at Rugby Park) it was nil each.
"It was a tough game and obviously it will be tough at home but with us having that home advantage, hopefully we can make that count and get a good result."