It's a matter of Colour Contrast and catering for all users actually being able see the hyperlinks properly. Not all users will have the same level of vision. If there is a poor contrast ratio, it may become an accessibility issue.
There are lots of tools that will let you check the forground colour against the background, but a website such as Check My Colours will generate a report over your site and may save you some time.
Depending if this is a new website, or an existing product with its own established brand, you may have a User Interface style guide that you can reference your design questions against. If not, it might be a good idea to make one so that the next time you (or the next designer to work on this) have a similar problem, you'll have a guide to follow.