The photo does not enlarge so it's difficult to see the plant clearly but another thing that might be a cause for concern is that the plant may need a larger container. tarev showed a great photo of what healthy roots should look like. You might want to consider un-potting your plant and removing all old soil to take a look at the root system and then re-pot in a larger container with fresh potting medium. Spider Plant (Chlorophytum comosum) https://en.wikipedia.org/wiki/...
~ I'm an old gal who still loves playing in the dirt!
~ Playing in the dirt is my therapy ... and I'm in therapy a lot!