WASHINGTON--Lawyers for Rep. Jesse Jackson Jr. (D-Ill.) who resigned Wednesday amidst an ongoing federal probe said negotiations for a "fair resolution" could take several months.

Reid H. Weingarten and Brian M. Heberlig, partners in the Washington, DC office of Steptoe & Johnson LLP, and Dan K. Webb, partner in the Chicago office of Winston & Strawn, LLP, attorneys for Jesse Jackson, Jr. said in a statement, "Mr. Jackson is cooperating with the investigation. We hope to negotiate a fair resolution of the matter but the process could take several months. During that time, we will have no further comment and urge you to give Mr. Jackson the privacy he needs to heal and handle these issues responsibly."