Medications can interact and may lead to unwanted reactions which sometimes can be serious. Linezolid interacts with certain antidepressant medications and concomitant use should be avoided. So please follow your doctor's advise and discuss your concerns with him. You may also need to discuss with your physician whether alternative antibiotics can be taken instead of linezolid.
Your details are missing, like age, height, weight etc. Dizziness could be because of B12 and D3 deficiency. Some antibiotics cause these deficiencies. For Vit D, take a walk in sunlight for 30 mins everyday. Take some good B12 tabs from pharmacy. It should improve.