Swansea have endured a difficult week with the sacking of manager Michael Laudrup and lie two points above the relegation zone.
However, Cardiff have also had their own upheavals this season, most notably Malky Mackay's sacking at the end of December, but last weekend's victory over Norwich moved them off the bottom of the table.
And former Stoke player Jones believes his club are in need of the three points more than their rivals.
"They are not necessarily vulnerable, but at times you have to be aware that they could be a wounded animal," Jones said.
"They are probably in disarray but come 5:30pm tomorrow we will see what happens.
"We are trying to inflict as much pain as we can as I believe we need the points more.
"I have been part of the north-east derby and I am happy to be part of another derby, but you have to play the game not the occasion.
"Both teams have separate situations and I think with our positions we need the points more than them."
Jones looks set to come up against Chico Flores after Monk made it clear he had no issue with the Spaniard following their recent training ground row.
But the 29-year-old sees no reason to be wary of Flores' behaviour come Saturday evening.
"That is between him and Andy Carroll. I am not Andy Carroll and I will go and play my football."
Cardiff boss Ole Gunnar Solskjaer had been expecting to come up against Laudrup, who he was looking forward to meeting for the first time, but does not believe the appointment of a new boss will necessarily see an upturn in Swansea's fortunes.
"You can never be surprised at anything. I was looking forward to seeing Michael, we have never met before," Solskjaer said.
"You cannot foresee how it goes for a team with a new manager, I will concentrate on my team and Garry will concentrate on his.
"We are burning to create history, we can do the double. We can create and repeat history.
"We can become the first side to do the double, but we won there before when Craig Bellamy scored the winner at the Liberty, so we can go create and repeat history at the same time."