A turbomachine includes a fluid cooled injection nozzle assembly. The fluid cooled injection nozzle assembly includes an inner conduit portion that includes a body portion having first end portion to a tip end portion. The body portion includes an outer surface and an inner surface. A cooling element extends through the inner conduit portion. The cooling element includes a body element having a first end section that extends to a second end section. The body element includes an outer surface and an inner surface that defines a cooling passage. The outer surface of the body element is spaced from the inner surface of the inner conduit portion to define a return channel. Fluid passing through the cooling passage impinges upon and convectively cools the tip end portion, enters the return channel and is directed out from the nozzle member.