In a apparatus for aspirating material into an opening into a passage and along the passage, the apparatus has at least one additional opening or orifice for admitting (pre-aspirating) a fluid into the passage. The fluid facilitates aspirating the material along the passage and thus is preferably adjacent the opening through which the material enters the passage to facilitate the aspiration all along the passage. The apparatus is particularly for surgical use. In surgical uses the material to be aspirated contains blood which tends to coagulate in the passage and block it. The fluid which enters the passage through the orifice then dilutes the blood to reduce coagulation, lubricates the passage for better material flow therealong, and flushes the material along the passage.