No, it is no longer needed. The reason why is that you no longer file a joint return with that spouse (perhaps using Qualifying Widow, or Head of Household, or joint with a different spouse, but not with the Spouse who had the debt). Please note the following excerpt from Instructions for Form 8379, Injured Spouse Allocation (click on link for full PDF article):
Purpose of Form
Form 8379 is filed by one spouse (the injured spouse) on a jointly filed tax return when the joint overpayment was (or is expected to be) applied (offset) to a past-due obligation of the other spouse. By filing Form 8379, the injured spouse may be able to get back his or her share of the joint refund.(Italics added).
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