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It really depends on your relationship with your current employer and your reasons for leaving. If the conditions are right, you need to speak to someone (preferably your manager, but their manager if this is not appropriate) explaining your reasons for looking for another job and try to agree an action plan to remedy things. You need to be seen to be trying to (re)build a future with your employer but you both need to take positive and measurable steps to achieve this. It is not impossible.