Camera movement in unity/C#

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C#

Unity

Unity3D

Hello, I am working on my first 2D game in Unity. And I have some struggles with camera, which seems lagy. It is like micro lags, when camera is folowing the players, sometimes. Should it be, because I used it in Update method?

My code looks like this:

void Update()
    {
        playerPosition = new Vector3(player.transform.position.x, player.transform.position.y, transform.position.z);
        if (player.transform.localScale.x > 0f)
        {
            playerPosition = new Vector3(playerPosition.x + offset, playerPosition.y, playerPosition.z);
        }
        else
        {
            playerPosition = new Vector3(playerPosition.x - offset, playerPosition.y, playerPosition.z);
        }
        transform.position = Vector3.Lerp(transform.position, playerPosition, offsetSmoothing * Time.deltaTime);
    }

What I have tried:

My thoughts are. That update method will make some actions every next frame. So if it is 110 fps, camera moved 110 times. Should I make it on lower fps, or put the code somewhere else, just not in Update method? Thank you.