Taught is an espresso coffee machine comprising a supply unit (101) supplying hot water; and filter-holder means (2, 102) for containing a pre-packaged measure (3) of coffee powder; said supply unit (101) and said filter-holder means (2, 102) being sealingly engaged with each other along a path of the engaging movement, said path of the engaging movement lying in a plane substantially perpendicular to the middle plane of engagement of said supply unit (101) and said filter-holder means (2, 102), the surfaces of said unit (101) supplying said filter-holder means (2, 102) coming into contact only upon engagement of the latter; and an ejection member (401) arranged in the vicinity of the periphery of said supply unit (101) and projecting perpendicularly with respect to the middle plane of engagement of said supply unit (101) and said filter-holder means (2, 102).