WASHINGTON, Nov 28 (Reuters) - The Pentagon is considering a Boeing proposal to supply Ukraine with cheap, small precision bombs fitted onto abundantly available rockets, allowing Kyiv to strike far behind Russian lines as the West struggles to meet demand for more arms.Although the United States has rebuffed requests for the 185-mile (297km) range ATACMS missile, the GLSDB's 94-mile (150km) range would allow Ukraine to hit valuable military targets that have been out of reach and help it continue pressing its counterattacks by disrupting Russian rear areas.Doug Bush, the U.S. Army's chief weapons buyer, told reporters at the Pentagon last week the Army was also looking at accelerating production of 155 millimeter artillery shells - currently only manufactured at government facilities - by allowing defense contractors to build them.The invasion of Ukraine drove up demand for American-made weapons and ammunition, while U.S. allies in Eastern Europe are "putting a lot of orders," in for a range of arms as they supply Ukraine, Bush added.They cannot be easily used with Ukrainian aircraft, but "in today's context we should be looking for innovative ways to convert them to standoff capability.""