There is no absolute requirement to do so. But, I think it depends upon the reason you divorced as to whether you have a serious obligation to attempt reconciliation.
You do not have any obligation to attempt reconciliation if there is a *valid *reason you divorced. Such as: abuse, neglect, unrepentant adultery on his part, or if he is hostile to the faith to the point it makes common life and the practice of your faith impossible.
Since you still live in the same household, it doesn’t seem that the common life is in a state that you need to be physically and legally protected from him. But I don’t know your circumstances (nor is there any reason to share them on this board).
Here are the relevant canons in canon law regarding separation while the bond remains (i.e. valid marriage):
Can. 1151 Spouses have the duty and right to preserve conjugal living unless a legitimate cause excuses them.
Can. 1152 §1. Although it is earnestly recommended that a spouse, moved by Christian charity and concerned for the good of the family, not refuse forgiveness to an adulterous partner and not disrupt conjugal life, nevertheless, if the spouse did not condone the fault of the other expressly or tacitly, the spouse has the right to sever conjugal living unless the spouse consented to the adultery, gave cause for it, or also committed adultery.
§2. Tacit condonation exists if the innocent spouse has had marital relations voluntarily with the other spouse after having become certain of the adultery. It is presumed, moreover, if the spouse observed conjugal living for six months and did not make recourse to the ecclesiastical or civil authority.
§3. If the innocent spouse has severed conjugal living voluntarily, the spouse is to introduce a cause for separation within six months to the competent ecclesiastical authority which, after having investigated all the circumstances, is to consider carefully whether the innocent spouse can be moved to forgive the fault and not to prolong the separation permanently.
Can. 1153 §1. If either of the spouses causes grave mental or physical danger to the other spouse or to the offspring or otherwise renders common life too diffcult, that spouse gives the other a legitimate cause for leaving, either by decree of the local ordinary or even on his or her own authority if there is danger in delay.
§2. In all cases, when the cause for the separation ceases, conjugal living must be restored unless ecclesiastical authority has established otherwise.
Can. 1154 After the separation of the spouses has taken place, the adequate support and education of the children must always be suitably provided.
Can. 1155 The innocent spouse laudably can readmit the other spouse to conjugal life; in this case the innocent spouse renounces the right to separate.
**You need to talk to your priest for pastoral guidance.