The Netherlands international signed a two-year extension in April 2025, but his current agreement expires at the end of this season. With no formal discussions yet under way, speculation is growing over whether the 35-year-old will remain at Liverpool beyond the summer.
Van Dijk, who turns 36 before the start of next season, has continued to play a central role for the Reds. He has featured in every minute of their Premier League campaign so far, helping the club climb to fourth after an inconsistent opening 10 matches.
However, the defender says there is no anxiety surrounding his future and that his immediate focus remains on playing.
"I feel good but it's not about me at the moment," Van Dijk said.
"Let's see. I'm not in any panic whatsoever. I want to keep playing and continue what I'm doing.
"Let's see what the season brings. I've had an amazing time already so far. If that will be extended, that's the case.
"If not, then I will go somewhere else. There's nothing to report at the moment but that doesn't mean that there's any stress or anything."
Van Dijk was speaking after Liverpool's 3-1 victory over Crystal Palace, a result that moved them into the top four. He acknowledged that the team are still developing under head coach Andoni Iraola, with consistency remaining a major objective.
"Mentally I'm in a good place. Physically I've been struggling with a little niggle the last couple of weeks but I do everything in my power to be out there," he added.
"Today was a big game for us and I'm glad we got the three points. It's been a progress. A work in progress. That's how I feel about it."
Asked to assess how the reshaped squad is adapting, Van Dijk stressed that Liverpool have not yet found the consistency required to challenge at the highest level.
"Some games we could have done much better that we won. And some games we lost but we were good. We're trying to find consistency as that's the only way to be successful.
"We have to keep going and learning from good moments and lesser good moments. We could have conceded early today but Ali helped us out. It was a very important day to just get the three points, no matter what. Glad we did that.
"The last game in Turkey, we were poor. We're trying to get consistency and stay up there - not only by winning games but in how we play with the ball and how we defend."
The captain also praised Alisson Becker, whose three important saves helped Liverpool secure the victory at Selhurst Park.
"Ali was outstanding again. He helped us massively. Great save, especially the volley off Kamada.
"In the end, good defending for the offside goal too. We needed Ali today and he was outstanding. We're glad to have him.
"Unfortunately we couldn't keep the clean sheet but other than that, very pleased to get the three points.
"Winning games in the Premier League is always special as it's never a given. You play against teams that make it so hard for each other. Three points in an away game always feels good."
Van Dijk will not feature for the Netherlands in their forthcoming Nations League matches against Greece and Germany after being ruled out through injury. The Dutch football association confirmed that neither the Liverpool defender nor Sunderland striker Brian Brobbey was fit enough to take part, and that no replacements would be called up.
His absence will provide an opportunity to recover from the minor problem, with Liverpool hoping to have their captain available when domestic football resumes.