It is not likely but possible that the title race will be decided on the final day, according to the boss.
Defending champion City are a point clear of the other two teams.
After trailing City by 14 points on January 15, the Reds have won 15 and drawn two of 17 league games.
"We never gave up and we will give it a try," said Klopp.
It is our last home game of the season. The atmosphere will be great. We will try to use it. We have to do our job. Sometimes football is hard to play. We will see, but you have to focus on yourself.
Villa, who are managed by Steven Gerrard, face a tough game on Thursday. Wolves had a week of rest.
It is unlikely because City play at home against Villa. It will be difficult for them to survive against us.
It is football. The time when City became champion was because of 11 millimetres. If someone wants us to be champion, we have to win first and then Villa have to get a point at City.
We have to win our game first. We are not talking about Wolves like they are not there.
If I was in the other situation, I don't feel like I'm champion already. You are thinking that City will win the game. It is football.
In the second leg of the FA Cup final, there were nine changes from the side that won on penalties.
They face Real Madrid in the final of the European Championship in Paris on May 28.
After Nathan Redmond gave the Saints the lead, Takumi Minamino and Joel Matip scored their goals.
The way we played with nine changes was outstanding.
Top game, unbelievable performance, nine changes. The players made it work out. It would have been my responsibility if it had not worked out.
The injured Joe Gomez was replaced by Jordan Henderson. The two defenders missed the game.
I hope we are lucky because Joe has pain but not too much.
He was in a good mood when I spoke to him, even though he got a real shock to the system. We have to figure that out, I think we were lucky.
Henderson said that they kicked on from January and gave everything.
We would have taken that if you said it would go to the last game. We were a long way off. You have to give credit to the guys.
We went for a reset in January when we were so far behind. We had a mental reset and pushed.
City are an incredible team. Whatever happens, we have done ourselves proud. All we can do is win our games.