Pepe Reina and Martin Skrtel said they are likely to stay with Liverpool as reports continue to swirl over the duo's exits in the summer.
Liverpool have been heavily linked with a move for Sunderland goalkeeper Simon Mignolet, with some reports suggesting talks had already started over a move.
That has led to suggestions Reina could be on his way out of Anfield, with Barcelona looking like the likeliest destination.
However, Reina, who has three years remaining in his contract, has always said he plans to stay with Liverpool next season, and the Spanish international reaffirmed those comments yet again.
"My situation is clear. I have a three-year contract with Liverpool, although in football you can never tell," he told Spanish radio station Onda Cero.
"I'm very happy and satisfied at Liverpool, I feel valued and respected.
"Logically, if there was a chance to improve and go to a bigger club it would be a good opportunity, although there are few clubs bigger than Liverpool."
Reina, who is currently with the Spain squad at the Confederations Cup, reiterated the same to Spanish newspaper El Confidencial. "In principle my plan is to continue with Liverpool," he said. "I have three years left on my contract and I want to fulfil that and even go further."
Meanwhile, another player tipped to leave the club is defender Skrtel, who fell out of favor with Brendan Rodgers in the second half of last season.
Serie A side Napoli, with former Liverpool manager Rafa Benitez at the helm, have been heavily linked with a move for the Slovakian international, but Skrtel's agent Karol Sconto does not believe Napoli can afford his client.
"Martin to move away from Liverpool? I specifically say that Skrtel has never said he wants to go away, then it depends on the Liverpool market because everything could change," he told Tuttomercatoweb.
"It's true that the last season was difficult but in football it can happen.
"Napoli? I think they haven't the financial possibilities to take him. Liverpool has not decided a price because they don't intend to sell the player. Anyway, I don't think that Napoli can afford his wage."