Yes, it is possible for sleep to improve over time while taking Cipralex. Some strategies for improving sleep hygiene include reducing stimulants like coffee, avoiding alcohol consumption, maintaining a consistent sleep schedule, avoiding screens before bed, not sleeping too much during the day, not forcing sleep, keeping the bed for sleeping only, removing phones from the bedroom, and keeping a notepad by the bed to jot down any thoughts keeping you awake. Over-the-counter medications like melatonin can also be tried, but if no improvement is seen after 1 or 2 nights, it may not be effective to continue. Cognitive-behavioral therapy with a psychologist can also help with sleep issues. It's important to be cautious with sleep aids, as they can disrupt sleep patterns and potentially do more harm than good in the long run. Integrating these strategies may lead to better results.