Roberto Martinez says Everton have received no bids for Marouane Fellaini or Leighton Baines in the past two weeks.
This summer, reports have regularly linked both players with moves to several different clubs.
But asked if there had been any firm recent interest or bids, the Everton manager told Sky Sports News: "Not at all. I know that is not something you want to hear but it is clearly what has been (the case) in the last two weeks.
"All I’m focusing on is working day-to-day, seeing players fighting to get in the starting team in August. That’s the only focus that I have. Any speculation from the outside is just speculation and a compliment to the players and the football club. There’s nothing we have to tell our fans.
"The last concern I have is what the other clubs do."
Martinez also said there was nothing in reports linking Nikica Jelavic with a move to German outfit Hamburg.
The Goodison chief was quizzed on potential further additions following media claims of Everton interest in Austria Vienna striker Phillipe Hosiner and Manchester City winger Scott Sinclair, but the Blues boss replied: "They are new to me those two.
"There is always a potential to bring in more players. We will take our time. It was important to bring four players straight away to make sure the group was strong but we will take our time and use our day-to-day to assess our reaction to work and how we want to play.
"That fine tuning is going to be trying to bring the right characters - people who can help the group. We have a strong group and the last thing I want to do is disturb that."