A Daily Mail report appeared earlier this week claiming Ferrari had made a £40m offer to sign Hamilton for next year.
The speculation comes amid a disappointing start for Mercedes F1 2023.
Still, Hamilton remained consistent in his message that he wanted to stay at Mercedes after this year.
Ferrari team principal Frederic Vasseur also deleted the reports linking Hamilton to the Italian team but was complementary about him.
Speaking ahead of this weekend’s Monaco grand prix, Hamilton was asked about the rumors at the FIA press conference and whether Mercedes’ poor form would influence his decision.
“Of course, when you negotiate a contract, there will always be speculation,” he said. “I think in the end, if you don’t hear from me, that’s it.
“No, I don’t think it matters because we’re still a championship-winning team, we just had the wrong car, there were some decisions made in the last two years that weren’t perfect and we’re working on that.
“All energy is going towards the new update this weekend, the team has been working incredibly hard to get this update rolling out. After Bahrain we decided that was what we were going to do, so I was a bit devastated when the last race was canceled because I was excited to try out this new package.
“While it’s not the best platform as far as tracks go to really see them come to life, we hope to experience more of that next week. Otherwise, my team is having discussions with the team in the background and we’re almost there.”
Hamilton hopes his new contract with Mercedes will be finalized in the “coming weeks”.
“Honestly, these are not things I can talk about,” he added. “For the first time I think I did not negotiate myself. I have a great background team doing all the work, so I just focus on doing the work at hand.
“I say what I want, and that’s what we’re aiming for. Hopefully in the coming weeks.