Максим Ученик,
<!DOCTYPE html>
<html>
<head>
<title>Untitled</title>
<meta charset="utf-8">
<link rel="stylesheet" type="text/css" href="https://cdn.jsdelivr.net/npm/slick-carousel@1.8.1/slick/slick.css"/>
<style type="text/css">
.slider{
width: 300px;
margin: auto;
position: relative;
}
.slick-next,.slick-prev{
position: absolute;
top: 50%;
transform: translateY(-50%);
}
.slick-next{
left: -100px;
}
.slick-prev{
right: -100px;
}
ul{
width: 100%;
height: 10px;
line-height:9px;
}
li{
float: left;
margin-left: 20px;
}
::marker{
font-size: 40px;
}
li button{
display: none;
}
</style>
</head>
<body>
<div class="slider">
<img src="https://placehold.it/300x100/0cc" alt="">
<img src="https://placehold.it/300x100/00c" alt="">
<img src="https://placehold.it/300x100/000" alt="">
</div>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>
<script type="text/javascript" src="https://cdn.jsdelivr.net/npm/slick-carousel@1.8.1/slick/slick.min.js"></script>
<script>
var slider = $(".slider").slick({
infinite: true,
slidesToShow: 1,
slidesToScroll: 1,
dots: true
});
var lis = [...document.querySelectorAll(".slick-dots li")];
lis.forEach((el,i) => el.addEventListener("mouseenter", () => slider.slick("slickGoTo", i)));
</script>
</body>
</html>