LinkedIn is supporting open graph meta tags for link preview. I have added all required meta tags in the head section of my HTML page.
<!-- Primary Meta Tags -->
<title>This is sample title</title>
<!-- Open Graph / Facebook / LinkedIn -->
<meta property="og:type" content="website">
<meta property="og:title" content="This is sample title">
<meta property="og:description" content='sample description'>
<meta property="og:image" content="image path">
But when I share my link on LinkedIn, LinkedIn does not fetch a description in the link preview.
The same link is working fine on Facebook as Facebook also supports open graph meta tags.