Speaking to the press today, however, Zidane has said that he has no desire to address the situation between the sticks until the end of the season at the earliest.
Real Madrid is in need of points to resurrect its league season, and it returns to action in La Liga for the first time since falling to rival Barcelona when it travels to Celta Vigo on Sunday.
"It is one of the worst situations I've experienced here", added the 29-year-old who has been with the club for over a decade.
Zinedine Zidane says Cristiano Ronaldo wants to finish his career at Real Madrid, despite recent rumours to the contrary.
"We'll try to work hard and fight so we can win our next game but we don't like this situation at all, it's difficult because the more games you draw or lose the more pressure you are under".
Real looked to be heading for a second successive league defeat after their 3-0 loss to Barca in their last outing when Daniel Wass lobbed over Keylor Navas to put Celta ahead in the 33rd minute.
"We are not going to go insane". If that changes by June or if we sit down and talk about it, we may sign players in certain positions.
However striker Ousmane Dembele made his first appearance, as a 71st-minute substitute, since tearing his hamstring at Getafe on September 16, just three games into his Barca career following a 105-million-euro ($124 million) move from Borussia Dortmund.
"We're trying to get out of this mess and we're working to do that, but we don't like this at all. We have to focus on each game now and try to win them", he said.