Include the link to the course description. It will help users recall details about the course and leave more accurate reviews.
Make the link open in a new tab or window. Include an icon to indicate the link will open in a new tab or window.
Use a transient popup that includes brief course information when the user hovers over the course name.
If I could not easily refresh my memory of the course, I would likely do one of the following:
Leave a negative review because I cannot recall what's good about the course. Negative experiences are easier to recall.
Not leave a review at all. It's too much work to search for the course on my own, and I simply don't care enough about it to leave a review.
Another bad idea that might occur to you is to try to force users to leave reviews. When I have encountered this scenario in the past, my response has been to leave bad or neutral reviews because being forced puts me in a bad disposition, which I project onto the course. This has happened in continued education courses that require review for credit. The presenter has to far over-perform to receive positive reviews, and many may undeservedly receive below average reviews.