The first leg will be next week in Barcelona, with the return match in Madrid on February 27, just before their Spanish league game at Santiago Bernabeu Stadium on March 3.
Lopetegui was finally fired by Real Madrid on Monday, less than five months after he was sacked by Spain before the World Cup for not telling federation officials he accepted the Madrid job.
Luis Suarez scored a hat-trick as he led Barcelona to a 5-0 victory over arch-rivals Real Madrid in El Clasico on Sunday.
The victory lifted Barcelona back to the top of the Spanish league with 21 points, while Madrid were left languishing in ninth place with 14 points.
Highlights, El Clasico: Suarez's hat-trick helps Barcelona beat Real Madrid 5-1
The 18-year-old Real Madrid forward, who has not been a regular in the first team, had his suspension overturned on Friday.
Lopetegui's status as a top coach will be highly contested if he fails with Madrid not long after his abrupt departure from Spain's national team just before the World Cup.
Barcelona will play Madrid at Camp Nou during Round 10 on the weekend of October 27-28.
Cristiano Ronaldo's right ankle was hurt when Gerard Pique stepped on it while unsuccessfully trying to stop him from scoring an equalizer in the 15th minute.
With Barcelona already Spanish league champion and Madrid focused on its Champions League final later this month, it was supposed to be the most low-key "clasico" in years.
Barcelona and Real Madrid will meet on Sunday in the final "clasico" of the season with very little to play for in the Spanish league.
The victory by Ernesto Valverde's team put Barcelona 14 points clear of Madrid, which remained in fourth place with a game in hand.
Ronaldo and Messi both have four Champions League titles, but Messi's eight Spanish league titles double Ronaldo's tally for Madrid and Manchester United.
Real Madrid are fourth in the points table with just 31 points in their bag to Barcelona's 42.
Ramos also said Madrid are confident and are working hard for the forthcoming tie against Barcelona which will held at the Santiago Bernabeu on December 23.
Legends of Spanish giants Barcelona and Real Madrid were to play an exhibition match in memory of Dutch legend and Barcelona star Johan Cruyff.
The referee adjudged Ronaldo to be diving inside the penalty box after already receiving a yellow card for taking off his shirt. Ronaldo was furious and shoved the referee while marching off the pitch.
Madrid : There were opinions across the spectrum after Barcelona defeated Real Madrid 4-3 the Santiago Bernabeu Stadium here in Spanish Primera Liga.Sunday night's 'El Clasico' game will be remembered for a Leo Messi hat-trick,
Madrid, July 10: The Spanish Football League published its full calendar of games for the coming season on Tuesday.The season kicks off Aug 17-18 and ends May 18, in order to give the international teams
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