Yamal was left out of the squad for the trip to Prague as he recovered from a knee problem, while Oyarzabal remained in San Sebastian for the birth of his second child.
De la Fuente confirmed that both forwards were expected to rejoin the squad for Friday's training session ahead of the meeting with England in Madrid.
"Lamine feels very good now and is really looking forward to joining the squad tomorrow," De la Fuente told Spanish television channel La 1.
He added that Oyarzabal would also be available, saying: "Mikel too. One will arrive at midday and the other a little later, but both will be with us tomorrow."
Yamal's expected return will be a significant boost for Spain, with the Barcelona teenager having established himself as one of the team's most influential attacking players.
Spain continued their impressive form against the Czech Republic, with Atletico Madrid players Alex Baena and Marc Pubill scoring in a victory that maintained their perfect record in League A Group 3.
The result also extended Spain's unbeaten run to 43 matches, with their last defeat coming against Colombia in March 2024.
England, meanwhile, head to the Spanish capital after beating Croatia 2-1 at Wembley. They remain three points behind Spain, with both teams already guaranteed places in the Nations League quarter-finals.
Sunday's encounter will decide the group winners, with Spain needing only a draw to finish top. De la Fuente described the fixture as an opportunity to watch two of the world's leading national teams, while admitting that maintaining their remarkable unbeaten run remains a challenge.