PORTLAND — The City Council this week is scheduled to approve a settlement between the Portland Police Bureau and a former officer who was fired for lying about her weight-loss surgery.

Christina Nelson, 42, said she claimed to be having gallbladder surgery in the fall of 2006 because she didn’t want other officers to know about her stomach-band surgery. A police emergency fund awarded Nelson $1,000 to help cover costs for gallbladder surgery after an employee assistance program staffer asked her about it over the phone.

Police Chief Rosie Sizer fired Nelson one year ago for not telling the truth.

Under the agreement, Nelson will receive $37,531 in back pay and be allowed to resign, The Oregonian newspaper reported. Nelson will drop a union grievance and agree not to sue the city. She will withdraw complaints filed with Oregon’s Bureau of Labor and Industries and the federal Equal Employment Opportunity Commission.

Nelson worked as a Portland school police officer for more than eight years before the unit merged with Portland police in 2001.

She weighed 238 pounds when she decided to get the weight-loss surgery in Mexico, where the procedure was cheaper.

The surgery places a silicone belt around the top of the stomach, helping the patient control hunger and feel full. Complications developed and Nelson had to return to Mexico to have the band removed. That’s when she failed to tell the truth.

The Multnomah County district attorney’s office declined to prosecute Nelson on fraud charges because she didn’t sign any paper making a false statement and the employee assistance fund likely would have paid her expenses had she been truthful.

Nelson ended up reimbursing the $1,000.

The settlement amount represents seven months of back pay. The city also agreed to give Nelson a letter she can use in job searches that says she “voluntarily resigned.”

Nelson and Sizer, who both signed the settlement, declined to comment until after Wednesday’s council vote.