Atletico are unbeaten in five matches in all competitions against Real after edging their Madrid rivals 4-2 on aggregate in the Copa del Rey round of 16 in January.
Diego Simeone's men have not lost to Real since the UEFA Champions League final in May.
"It's an important match against a direct rival because of what's at stake in the league," said Godin, who played a full 90 minutes as Atletico accounted for Eibar 3-1 last week.
"Playing at the Calderon, with our people, we aspire to win the match. We want to win, we always want to win and even more against Real Madrid.
"It's a different match, and just because we won the previous matches doesn't mean we'll win this one.
"We must plan it well, follow the path we're on and that's what's going to bring us closer to the result we want."
Godin revealed his team-mates have been focusing on Real's counter-attacking strength in the lead up to the blockbuster fixture.
"They play with very fast people at the front, very fast and very precise," said the Uruguayan. "We'll try to be very careful, especially when we have possession of the ball because when they steal it, they are the most dangerous in the world."
Barcelona will be monitoring the showdown very closely, with La Liga's second-placed team scheduled to play on Sunday.
"I think we have the chance to do something big this season," Barca defender Gerard Pique told reporters.
"We just have to keep the same level, keep getting results and get through the semi-finals of the cup and in the league try to put pressure on [Real] Madrid, the leaders, so they drop points. We have to keep picking up three points."
Cordoba - outside of the relegation zone on goal difference - go head-to-head with Almeria, while Deportivo La Coruna and Eibar kick off the round on Friday.
