Marine Amphibious Unit Service Support Group 11 (MSSG-11) was commissioned in May 1984 at Marine Corps Base Camp Pendleton under the command of the 1st Force Service Support Group. The Group was re-designated on 5 February 1988 as Marine Expeditionary Unit Service Support Group 11. From January through April 1991 the group supported 11th MEU operations in support of Operation Desert Shield and Desert Storm. The following year, MSSG-11 participated in operations supporting Operation Restore Hope in Somalia. Following that, in April 1994, MSSG-11 supported Operation Distant Runner, the Non-combatant evacuation operation (NEO) that took place in Rwanda.
In June 1998, MSSG-11, as part of the 11th MEU, supported a NEO in Asmara, Eritrea in response to the outbreak of the Eritrean–Ethiopian War. The codename for the evacuation was Operation Safe Departure. During the unit's next float, it took part in Operation Stabilise in East Timor from October–November 1999, and again in November 2002. From August through October 2002 the unit supported humanitarian operations in Djibouti. The battalion next supported combat operations in Iraq during the 2003 invasion of Iraq from March until June 2003. It would deploy again to Iraq from June 2004 until February 2005, and from April to July 2006. On 17 August 2006. MSSG-11 was re-designated as Combat Logistics Battalion 11 and reassigned to Combat Logistics Regiment 17, 1st Marine Logistics Group.