The club captain, whose contract expires on June 30, was speaking publicly about his future for the first time in six months at the launch of his new documentary series.
"I'd like to be able to say something, but there's nothing new," Ramos said. "I've only been thinking about coming back from my injury and ending the season as well as possible. On the renewal, there's no news.
"I promise that when there is, I'll be the first to say so," he added. "But right now I'm calm and I'm only thinking about playing again."
Ramos, who has been absent since last month after undergoing knee meniscus surgery, returned to training with Real Madrid on Wednesday.
The 34-year-old is now likely to be fit for the team's crunch Champions League round-of-16 second leg clash with Atalanta next week.
ESPN reported in November that initial conversations had begun between the club and Ramos over a new contract, with both parties keen to reach an agreement if they could agree on the terms.
However Madrid's difficult financial situation in the aftermath of the coronavirus pandemic has complicated matters.
The lack of progress has cast a shadow over the club's season, with coach Zinedine Zidane facing weekly questions on the subject.
"You always ask me about it, it's amazing," an irritated Zidane said last month. "What else can I say? I want it to be sorted out as soon as possible."
Ramos -- who joined Real Madrid from Sevilla FC in 2005 aged just 19 -- had maintained his silence until Thursday's news conference.
"What I'd like to do is leave with my conscience clear, after giving everything for the club," Ramos told Spanish internet personality Ibai Llanos in an interview on Thursday. "I don't know if it will be today, tomorrow or in five years. It doesn't only depend on me, but I'd like to leave through the front door, as I think I deserve."
When asked about signings, Ramos said he thought it would be "a bit easier" for Madrid to sign Erling Haaland rather than Kylian Mbappe -- saying "Real Madrid could always do with a number nine with that hunger for goals" -- but denied transfer business would dictate whether he stays at the club.
"They're things that don't depend on me, so when it's time to take a decision, they aren't decisive," Ramos said. "But if Madrid can sign top players, you have more chance of winning, and in the end I want to win.. It could have a small influence."
Ramos, who has been linked with moves to the Premier League and Paris Saint-Germain, said on Thursday that he believes he "can perform for five more years at the highest level."